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

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

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

Reorder the terms:
-2(-3 + x) + 6x = 2x + 3(x + -4)
(-3 * -2 + x * -2) + 6x = 2x + 3(x + -4)
(6 + -2x) + 6x = 2x + 3(x + -4)

Combine like terms: -2x + 6x = 4x
6 + 4x = 2x + 3(x + -4)

Reorder the terms:
6 + 4x = 2x + 3(-4 + x)
6 + 4x = 2x + (-4 * 3 + x * 3)
6 + 4x = 2x + (-12 + 3x)

Reorder the terms:
6 + 4x = -12 + 2x + 3x

Combine like terms: 2x + 3x = 5x
6 + 4x = -12 + 5x

Solving
6 + 4x = -12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 4x + -5x = -12 + 5x + -5x

Combine like terms: 4x + -5x = -1x
6 + -1x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -1x = -12 + 0
6 + -1x = -12

Add '-6' to each side of the equation.
6 + -6 + -1x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -12 + -6
-1x = -12 + -6

Combine like terms: -12 + -6 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18