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

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

Simplifying
4(1 + -2x) = 3(2 + -1x)
(1 * 4 + -2x * 4) = 3(2 + -1x)
(4 + -8x) = 3(2 + -1x)
4 + -8x = (2 * 3 + -1x * 3)
4 + -8x = (6 + -3x)

Solving
4 + -8x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4 + -8x + 3x = 6 + -3x + 3x

Combine like terms: -8x + 3x = -5x
4 + -5x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + -5x = 6 + 0
4 + -5x = 6

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

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

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

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4