Question

Enter the value for x that makes the equation 7 + 6x – 4 + 2x = -37 true.
Help!

Answer 1

`x=-5`

Explanation:

Combine all like terms using addition and subtraction as necessary. Make sure to keep the symbol in front of any term when rearranging (ie. -4):

`(7-4)+(6x+2x)=-37\\\\3+8x=-37`

Use inverse operations to isolate the variable. Subtract 3 from both sides, the 3 will cancel out:

`3-3+8x=-37-3\\\\8x=-40`

Use inverse operations to isolate x. Divide both sides by 8, the 8 will cancel out:

`(8x)/(8) =(-40)/(8) \\\\x=-5`

The value of x for the given equation is -5.

:Done