6x-(5x+5)=-8-2(x+12)

Solution for 6x-(5x+5)=-8-2(x+12) equation:

Simplifying
6x + -1(5x + 5) = -8 + -2(x + 12)

Reorder the terms:
6x + -1(5 + 5x) = -8 + -2(x + 12)
6x + (5 * -1 + 5x * -1) = -8 + -2(x + 12)
6x + (-5 + -5x) = -8 + -2(x + 12)

Reorder the terms:
-5 + 6x + -5x = -8 + -2(x + 12)

Combine like terms: 6x + -5x = 1x
-5 + 1x = -8 + -2(x + 12)

Reorder the terms:
-5 + 1x = -8 + -2(12 + x)
-5 + 1x = -8 + (12 * -2 + x * -2)
-5 + 1x = -8 + (-24 + -2x)

Combine like terms: -8 + -24 = -32
-5 + 1x = -32 + -2x

Solving
-5 + 1x = -32 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-5 + 1x + 2x = -32 + -2x + 2x

Combine like terms: 1x + 2x = 3x
-5 + 3x = -32 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 3x = -32 + 0
-5 + 3x = -32

Add '5' to each side of the equation.
-5 + 5 + 3x = -32 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = -32 + 5
3x = -32 + 5

Combine like terms: -32 + 5 = -27
3x = -27

Divide each side by '3'.
x = -9

Simplifying
x = -9