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

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

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

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

Solving
6 + -12x = 3 + 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 + -12x + -2x = 3 + 2x + -2x

Combine like terms: -12x + -2x = -14x
6 + -14x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -14x = 3 + 0
6 + -14x = 3

Add '-6' to each side of the equation.
6 + -6 + -14x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -14x = 3 + -6
-14x = 3 + -6

Combine like terms: 3 + -6 = -3
-14x = -3

Divide each side by '-14'.
x = 0.2142857143

Simplifying
x = 0.2142857143