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

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

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

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

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

Combine like terms: -6 + -4 = -10
-10 + 3x + x = 4 + -2(3 + -2x) + x

Combine like terms: 3x + x = 4x
-10 + 4x = 4 + -2(3 + -2x) + x
-10 + 4x = 4 + (3 * -2 + -2x * -2) + x
-10 + 4x = 4 + (-6 + 4x) + x

Combine like terms: 4 + -6 = -2
-10 + 4x = -2 + 4x + x

Combine like terms: 4x + x = 5x
-10 + 4x = -2 + 5x

Solving
-10 + 4x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 4x + -5x = -2 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-10 + -1x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -1x = -2 + 0
-10 + -1x = -2

Add '10' to each side of the equation.
-10 + 10 + -1x = -2 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -2 + 10
-1x = -2 + 10

Combine like terms: -2 + 10 = 8
-1x = 8

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

Simplifying
x = -8