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

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

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

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

Remove parenthesis around (-4 + x)
6 + -4x = -4 + x

Solving
6 + -4x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -4x + -1x = -4 + x + -1x

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

Combine like terms: x + -1x = 0
6 + -5x = -4 + 0
6 + -5x = -4

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

Combine like terms: 6 + -6 = 0
0 + -5x = -4 + -6
-5x = -4 + -6

Combine like terms: -4 + -6 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2