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

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

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

Solving
6 + -8x = -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 + -8x + -6x = -6 + 6x + -6x

Combine like terms: -8x + -6x = -14x
6 + -14x = -6 + 6x + -6x

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

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

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

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

Divide each side by '-14'.
x = 0.8571428571

Simplifying
x = 0.8571428571