Question

Solve for x: |x -2| + 10 = 12

Answer 1

Let's solve your equation step-by-step.

|x−2|+10=12

Step 1: Add -10 to both sides.

|x−2|+10+−10=12+−10

|x−2|=2

Step 2: Solve Absolute Value.

|x−2|=2

We know eitherx−2=2orx−2=−2

x−2=2(Possibility 1)

x−2+2=2+2(Add 2 to both sides)

x=4

x−2=−2(Possibility 2)

x−2+2=−2+2(Add 2 to both sides)

x=0

Answer:

x=4 or x=0

Explanation:

Answer 2

|x -2| + 10 = 12

subtract 10 from both sides

|x -2| = 2

set it equal to positive and negative

x-2 = 2 and x-2=-2

add 2 to each side

x=4 and x=0

Answer: x=0,4