2(3+4x)=2(x-6)

Solution for 2(3+4x)=2(x-6) equation:

Simplifying
2(3 + 4x) = 2(x + -6)
(3 * 2 + 4x * 2) = 2(x + -6)
(6 + 8x) = 2(x + -6)

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

Solving
6 + 8x = -12 + 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 + 8x + -2x = -12 + 2x + -2x

Combine like terms: 8x + -2x = 6x
6 + 6x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 6x = -12 + 0
6 + 6x = -12

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

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

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

Divide each side by '6'.
x = -3

Simplifying
x = -3