How do you solve -5abs(x + 1) = -10?

1 Answer
Jim G.
Apr 15, 2018

x=-3" or "x=1

Explanation:

"the expression inside the absolute value can be positive"
"or negative"

"divide both sides by "-5

rArr|x+1|=2

color(magenta)"Positive expression"

x+1=2rArrx=1

color(magenta)"Negative expression"

-(x+1)=2

rArr-x-1=2

rArr-x=3rArrx=-3

color(blue)"As a check"

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x=1to-5|2|=-5xx2=-10

x=-3to-5|-2|=-5xx2=-10

rArrx=-3" or "x=1" are the solutions"

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