Solve each of the following equations. Show its solution set on a number line. Check your answers.

|4x−4(x+1)|=4

see below

Step-by-step explanation:

|4x−4(x+1)|=4

First simplify in the absolute value

Distribute

|4x−4x-4|=4

|-4|=4

Taking the absolute value

4 =4

This is always true

X is all real numbers

Pick any value for x and it will be a true statement

x=0

|4*0−4(*0+1)|=4

|-4|=4

Let x = 5

|4*5−4(5+1)|=4

|20−24|=4

|−4|=4

Step-by-step explanation:

Step 1:  Distribute

 All real numbers

Check, pick x = 2

True

no solution

step-by-step explanation:

there is not enough information in the problem to solve.