Question

Solve for x: −3|x − 3| = −6

Answer 1

x = 5 x = 1

Explanation:

−3|x − 3| = −6

Divide each side by -3

−3/-3|x − 3| = −6/-3

|x − 3| = 2

An absolute value is equal to a positive and negative solution

x-3 =2 and x-3 = -2

Add 3 to each side

x-3+3 = 2+3 x-3+3 = -2+3

x = 5 x = 1