I faced the same problem,
I added android support design dependencies to the app level build.gradle

Add following:

implementation 'com.android.support:design:27.1.0'

in build.gradle. Now its working for me.

It might be cause of a library, I faced it because of Glide.

It was

implementation 'com.github.bumptech.glide:glide:4.7.1'

So I added exclude group: "com.android.support" And it becomes

implementation ('com.github.bumptech.glide:glide:4.7.1') 
 exclude group: "com.android.support"
 

Use the latest supportLibrary, version 27.1.1 to solve the problem. worked for me. (many bug fixes included - see changelog)

Make sure these two are the same version in your app level build.gradle file

 implementation 'com.android.support:appcompat-v7:27.1.1'
 implementation 'com.android.support:design:27.1.1'

I think that should solve the problem

I m using android studio 3.0
and i upgrade the design pattern dependency from 26.0.1 to 27.1.1 and the error is gone now.

Add Following in gradle
implementation 'com.android.support:design:27.1.1'

Personally, I add the following line to my app/build.gradle:

implementation "com.android.support:design:$rootProject.ext.supportLibVersion"

With this syntax, version is dynamical.

Use

implementation 'com.android.support:appcompat-v7:27.1.1'

Don't use like

implementation 'com.android.support:appcompat-v7:27.+'

It may give you an error and don't use an older version than this.

or event don't do like this

implementation 'com.android.support:appcompat-v7:27.1.1'
implementation 'com.android.support:design:27.1.1' 

etc... numbers of libraries and then

implementation 'com.android.support:appcompat-v7:27.+'

the same library but it has a different version, it can give you an error.

I downgrade the support

previously it was
implementation 'com.android.support:appcompat-v7:27.0.2'

Use it

implementation 'com.android.support:appcompat-v7:27.1.0'

implementation 'com.android.support:design:27.1.0'

Its Working Happy Codng

I know it's a late answer but I had the same problem and my solution was just adding implementation 'com.android.support:design:28.0.0 or any above support design libraries !!

Important Update

Android support libraries will not be updated after 28.0.0. According to Support Library Release Notes -

This will be the last feature release under the android.support
packaging, and developers are encouraged to migrate to AndroidX 1.0.0.

So use AndroidX support libraries instead. In your case design library is now available in material package.

dependencies 
 implementation 'com.google.android.material:material:1.0.0' // instead of design
 implementation 'androidx.appcompat:appcompat:1.0.2' // instead of support-v7

I have put latest versions in dependency, you can check latest version here at read time.

Useful Posts :

1. AndroidX introduction & integration


2. Learn about Jetifier (engine behind AndroidX migration)


3. Some Do's and Dont's

As android latest update doesn't support 'compile' keyword use 'implementation' in place inside your module build.gradle file.

And check thoroughly in build.gradle for dependancy with + sign like this.

implementation 'com.android.support:support-v4:28.+'

If there are any dependencies like this, just update them with a specific version.
After that:

1. Sync gradle.


2. Clean your project.


3. Rebuild the project.

If any of the answers mentioned here doesn't work then go to File > Invalidate Catches/Restart

The solution for this is that remove this following dependency:

implementation 'com.android.support:design:26.1.0'

put general dependencies as:

dependencies 
 implementation fileTree(include: ['*.jar'], dir: 'libs')
 //noinspection GradleCompatible
 implementation 'com.android.support:appcompat-v7:27.1.1'
 implementation 'com.android.support:support-compat:26.1.0'
 implementation 'com.android.support:multidex:1.0.3' 
 implementation 'com.android.support:support-v4:26.1.0'
 testImplementation 'junit:junit:4.12'
 androidTestImplementation 'com.android.support.test:runner:1.0.2'
 androidTestImplementation 'com.android.support.test.espresso:espresso-core:3.0.2'
 implementation 'com.facebook.android:audience-network-sdk:4.99.1'

Your build script should match with application build.gradle dependencies.

ext 
 buildToolsVersion = "27.0.3"
 minSdkVersion = 16
 compileSdkVersion = 27
 targetSdkVersion = 26
 supportLibVersion = "27.1.1"
 


dependencies 
 .................
 ...................

 implementation 'com.android.support:support-v4:27.1.0'
 implementation 'com.android.support:design:27.1.0'
 ................
 ...........

if you want to downgrade dependencies then also downgrade supportLibVersion and buildToolsVersion .

I had this problem too; and i resolved that in this way:

configurations.all 
resolutionStrategy.eachDependency DependencyResolveDetails details ->
 def requested = details.requested
 if (requested.group == 'com.android.support') 
 if (!requested.name.startsWith("multidex")) 
 details.useVersion '26.0.1'
 
 
 

be careful my min SDk was 26 , you have to change it with yours!

I got this error after update com.android.support.constraint:constraint-layout from 1.1.0 to 1.1.3. Maybe worth to try.

Adding this to project's gradle.properties fixed it for us:

android.enableJetifier=true
android.useAndroidX=true

Changed all dependencies to compile rather than implementation, then I rebuild the project without errors. Then I switched back to implementation rather than leaving it as compile.