Answer
x=7
x=-1
Work Step by Step
Original Equation
|x-3|+3=7
Subtract 3 from both sides
|x-3|=4
Take x-3 and solve
x-3=4
Add 3 to both sides
x=7
Make x-3 negative and solve
-x+3+3=7
Simplify
-x+6=7
Subtract 6 from both sides
-x=1
Divide both sides by -1
x=-1