x+6=2(5x-6)

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

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

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

Reorder the terms:
6 + x = 2(-6 + 5x)
6 + x = (-6 * 2 + 5x * 2)
6 + x = (-12 + 10x)

Solving
6 + x = -12 + 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.
6 + x + -10x = -12 + 10x + -10x

Combine like terms: x + -10x = -9x
6 + -9x = -12 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -9x = -12 + 0
6 + -9x = -12

Add '-6' to each side of the equation.
6 + -6 + -9x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = -12 + -6
-9x = -12 + -6

Combine like terms: -12 + -6 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2