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

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

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

Reorder the terms:
3(2x + 1 + -2(-1 + 2x)) + 4 = 2(1 + 2(3 + -1x))
3(2x + 1 + (-1 * -2 + 2x * -2)) + 4 = 2(1 + 2(3 + -1x))
3(2x + 1 + (2 + -4x)) + 4 = 2(1 + 2(3 + -1x))

Reorder the terms:
3(1 + 2 + 2x + -4x) + 4 = 2(1 + 2(3 + -1x))

Combine like terms: 1 + 2 = 3
3(3 + 2x + -4x) + 4 = 2(1 + 2(3 + -1x))

Combine like terms: 2x + -4x = -2x
3(3 + -2x) + 4 = 2(1 + 2(3 + -1x))
(3 * 3 + -2x * 3) + 4 = 2(1 + 2(3 + -1x))
(9 + -6x) + 4 = 2(1 + 2(3 + -1x))

Reorder the terms:
9 + 4 + -6x = 2(1 + 2(3 + -1x))

Combine like terms: 9 + 4 = 13
13 + -6x = 2(1 + 2(3 + -1x))
13 + -6x = 2(1 + (3 * 2 + -1x * 2))
13 + -6x = 2(1 + (6 + -2x))

Combine like terms: 1 + 6 = 7
13 + -6x = 2(7 + -2x)
13 + -6x = (7 * 2 + -2x * 2)
13 + -6x = (14 + -4x)

Solving
13 + -6x = 14 + -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.
13 + -6x + 4x = 14 + -4x + 4x

Combine like terms: -6x + 4x = -2x
13 + -2x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
13 + -2x = 14 + 0
13 + -2x = 14

Add '-13' to each side of the equation.
13 + -13 + -2x = 14 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 14 + -13
-2x = 14 + -13

Combine like terms: 14 + -13 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5