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

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

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

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

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

Remove parenthesis around (4 + -1x)
2 + 2x + 4 + -1x = 2(x + -1)

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

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

Combine like terms: 2x + -1x = 1x
6 + 1x = 2(x + -1)

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

Solving
6 + 1x = -2 + 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 + 1x + -2x = -2 + 2x + -2x

Combine like terms: 1x + -2x = -1x
6 + -1x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -1x = -2 + 0
6 + -1x = -2

Add '-6' to each side of the equation.
6 + -6 + -1x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -2 + -6
-1x = -2 + -6

Combine like terms: -2 + -6 = -8
-1x = -8

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

Simplifying
x = 8