2(3-2x)=5(2-4x)

Solution for 2(3-2x)=5(2-4x) equation:

Simplifying
2(3 + -2x) = 5(2 + -4x)
(3 * 2 + -2x * 2) = 5(2 + -4x)
(6 + -4x) = 5(2 + -4x)
6 + -4x = (2 * 5 + -4x * 5)
6 + -4x = (10 + -20x)

Solving
6 + -4x = 10 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
6 + -4x + 20x = 10 + -20x + 20x

Combine like terms: -4x + 20x = 16x
6 + 16x = 10 + -20x + 20x

Combine like terms: -20x + 20x = 0
6 + 16x = 10 + 0
6 + 16x = 10

Add '-6' to each side of the equation.
6 + -6 + 16x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 16x = 10 + -6
16x = 10 + -6

Combine like terms: 10 + -6 = 4
16x = 4

Divide each side by '16'.
x = 0.25

Simplifying
x = 0.25