Question

What is the solution to -8(x + 3) = 16 - (x + 5) show all work

Answer 1

Answer:

x = -5

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :      -8 * (x+3) - (16-(x+5)) = 0

 (0 -  8 * (x + 3)) -  (11 - x)  = 0

Pull out like factors :

-7x - 35  =   -7 * (x + 5)

-7 * (x + 5)  = 0

----

-7   =  0

This equation has no solution.

A a non-zero constant never equals zero.

 So

x+5 = 0  

Subtract  5  from both sides of the equation :  

                     x = -5