Question

Given the equation, -5|x + 1| = -10, the isolated absolute value equation would be |x + 1| = -15.

Answer 1

i believe it would be Ix+1I=-5

Answer 2

-10 +5=-5

Answer 3

$$\huge -5|x + 1| = -10$$

Dividing both sides by -5 will isolate the absolute value:

$$\huge \dfrac{-5|x + 1|}{-5}= \dfrac{-10}{-5}$$

$$\huge \dfrac{ \cancel{-5}|x + 1|}{\cancel{-5}}= 2$$

$$\huge |x + 1| = 2$$

Answer 4

@mitu12 the -5 in \(\Large -5|x + 1| = -10\) is being multiplied by the \(\Large |x + 1|\), so you cannot cancel it out by adding 5; addition can not undo multiplication, only division can.

Answer 5

With the exception that multiplication by 0 cannot be "undone" by division by 0

because division by 0 is undefined.