Question

Solve for x: 3|x-7|=15. Show full work

Answer 1

Answer

x=12 or x=2

Step-by-step explanation:

3|x-7|=15

x-7=5

x=12

x-7= -5

x=2

Answer 2

x=2,12

Step-by-step explanation:

3|x-7|=15

Divide each side by 3

3/3|x-7|=15/3

|x-7|=5

Absolute value equations have 2 solutions, one positive and one negative

x-7 = 5 and x-7 = -5

Add 7 to all sides

x-7+7 = 5+7 x-7+7 = -5+7

x =12 x=2