1 Subtract 22 from both sides
3|x-3|=14-23∣x−3∣=14−2
2 Simplify 14-214−2 to 1212
3|x-3|=123∣x−3∣=12
3 Divide both sides by 33
|x-3|=\frac{12}{3}∣x−3∣=
3
12
4 Simplify \frac{12}{3}
3
12
to 44
|x-3|=4∣x−3∣=4
5 Break down the problem into these 2 equations
x-3=4x−3=4
-(x-3)=4−(x−3)=4
6 Solve the 1st equation: x-3=4x−3=4How?
x=7x=7
7 Solve the 2nd equation: -(x-3)=4−(x−3)=4How?
x=-1x=−1
8 Collect all solutions
x=-1,7x=−1,7