3(2-4x)=4(2x-1)-2(1+x)

Solution for 3(2-4x)=4(2x-1)-2(1+x) equation:

Simplifying
3(2 + -4x) = 4(2x + -1) + -2(1 + x)
(2 * 3 + -4x * 3) = 4(2x + -1) + -2(1 + x)
(6 + -12x) = 4(2x + -1) + -2(1 + x)

Reorder the terms:
6 + -12x = 4(-1 + 2x) + -2(1 + x)
6 + -12x = (-1 * 4 + 2x * 4) + -2(1 + x)
6 + -12x = (-4 + 8x) + -2(1 + x)
6 + -12x = -4 + 8x + (1 * -2 + x * -2)
6 + -12x = -4 + 8x + (-2 + -2x)

Reorder the terms:
6 + -12x = -4 + -2 + 8x + -2x

Combine like terms: -4 + -2 = -6
6 + -12x = -6 + 8x + -2x

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

Solving
6 + -12x = -6 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 0
6 + -18x = -6 + 0
6 + -18x = -6

Add '-6' to each side of the equation.
6 + -6 + -18x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -18x = -6 + -6
-18x = -6 + -6

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

Divide each side by '-18'.
x = 0.6666666667

Simplifying
x = 0.6666666667