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

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

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

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

Solving
6 + -4x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + -4x + -4x = 2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
6 + -8x = 2 + 0
6 + -8x = 2

Add '-6' to each side of the equation.
6 + -6 + -8x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 2 + -6
-8x = 2 + -6

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

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5