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

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

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

Combine like terms: 3 + -6 = -3
2(-3 + 4x) = 2(3 + x)
(-3 * 2 + 4x * 2) = 2(3 + x)
(-6 + 8x) = 2(3 + x)
-6 + 8x = (3 * 2 + x * 2)
-6 + 8x = (6 + 2x)

Solving
-6 + 8x = 6 + 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 + 8x + -2x = 6 + 2x + -2x

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

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

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

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

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

Divide each side by '6'.
x = 2

Simplifying
x = 2