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

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

Simplifying
4(2 + -3x) + 4(2x + -3) = 4(x + 1)
(2 * 4 + -3x * 4) + 4(2x + -3) = 4(x + 1)
(8 + -12x) + 4(2x + -3) = 4(x + 1)

Reorder the terms:
8 + -12x + 4(-3 + 2x) = 4(x + 1)
8 + -12x + (-3 * 4 + 2x * 4) = 4(x + 1)
8 + -12x + (-12 + 8x) = 4(x + 1)

Reorder the terms:
8 + -12 + -12x + 8x = 4(x + 1)

Combine like terms: 8 + -12 = -4
-4 + -12x + 8x = 4(x + 1)

Combine like terms: -12x + 8x = -4x
-4 + -4x = 4(x + 1)

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

Solving
-4 + -4x = 4 + 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.
-4 + -4x + -4x = 4 + 4x + -4x

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

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

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

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

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

Divide each side by '-8'.
x = -1

Simplifying
x = -1