Question

-5|x+3|+3=-17 what’s the answer

Answer 1

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