Solve (-8x-12) + (9x+4) =

We need to add like terms, meaning add the x's together and add the regular numbers together.

So if we add the x's together, - 8x+9x = 1x.

Then when we add the numbers together, - 12+4 = - 8.

Combine our two sums and we get x-8 as the final answer.

Simplifying

8x + - 12 = 9x + - 4 + x

Reorder the terms:

-12 + 8x = 9x + - 4 + x

Reorder the terms:

-12 + 8x = - 4 + 9x + x

Combine like terms: 9x + x = 10x

-12 + 8x = - 4 + 10x

Solving

-12 + 8x = - 4 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.

-12 + 8x + - 10x = - 4 + 10x + - 10x

Combine like terms: 8x + - 10x = - 2x

-12 + - 2x = - 4 + 10x + - 10x

Combine like terms: 10x + - 10x = 0

-12 + - 2x = - 4 + 0

-12 + - 2x = - 4

Add '12' to each side of the equation.

-12 + 12 + - 2x = - 4 + 12

Combine like terms: - 12 + 12 = 0

0 + - 2x = - 4 + 12

-2x = - 4 + 12

Combine like terms: - 4 + 12 = 8

-2x = 8

Divide each side by '-2'.

x = - 4

Simplifying

x = - 4