4(x+1)-2(x-1)=6-x

Solution for 4(x+1)-2(x-1)=6-x equation:

Simplifying
4(x + 1) + -2(x + -1) = 6 + -1x

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

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

Reorder the terms:
4 + 2 + 4x + -2x = 6 + -1x

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

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

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

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

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

Solving
2x = -1x

Solving for variable 'x'.

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

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

Combine like terms: 2x + x = 3x
3x = -1x + x

Combine like terms: -1x + x = 0
3x = 0

Divide each side by '3'.
x = 0

Simplifying
x = 0