Question

Solve for x: −3|x − 3| = −6

Answer 1

|x - 3| = -6/-3
Two negatives = a positive so make it |x - 3| = -6/-3
|x - 3| = 2
In order to find the answers we need to break it down into these two problems
x - 3 = 2 and -(x - 3) = 2
For the first one its 5 since 5 - 3 = 2 and 2 + 3 = 5
For the second one its 1
Now we're done lets just collect both answers

Answers: x = 1, 5

Answer 2

remember, for |a|=b, assume and solve a=b and a=-b

so

first get into |a|=b form

-3|x-3|=-6
divide both sides by -3
|x-3|=2
so solve
x-3=2 and x-3=-2
add 3 to both sides
x=5 and x=1

the solutionsa re x=1 and 5