6-6x=2(x+5)

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

Simplifying
6 + -6x = 2(x + 5)

Reorder the terms:
6 + -6x = 2(5 + x)
6 + -6x = (5 * 2 + x * 2)
6 + -6x = (10 + 2x)

Solving
6 + -6x = 10 + 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.
6 + -6x + -2x = 10 + 2x + -2x

Combine like terms: -6x + -2x = -8x
6 + -8x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -8x = 10 + 0
6 + -8x = 10

Add '-6' to each side of the equation.
6 + -6 + -8x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 10 + -6
-8x = 10 + -6

Combine like terms: 10 + -6 = 4
-8x = 4

Divide each side by '-8'.
x = -0.5

Simplifying
x = -0.5