Answer:
x=−7,1
Step-by-step explanation:
1 Subtract 33 from both sides.
-5|x+3|=-17-3−5∣x+3∣=−17−3
2 Simplify -17-3−17−3 to -20−20.
-5|x+3|=-20−5∣x+3∣=−20
3 Divide both sides by -5−5.
|x+3|=\frac{-20}{-5}∣x+3∣=
−5
−20
4 Two negatives make a positive.
|x+3|=\frac{20}{5}∣x+3∣=
5
20
5 Simplify \frac{20}{5}
5
20
to 44.
|x+3|=4∣x+3∣=4
6 Break down the problem into these 2 equations.
x+3=4x+3=4
-(x+3)=4−(x+3)=4
7 Solve the 1st equation: x+3=4x+3=4.
x=1x=1
8 Solve the 2nd equation: -(x+3)=4−(x+3)=4.
x=-7x=−7
9 Collect all solutions.
x=-7,1x=−7,1
