3x+(-x+1)-(x-5)=8-(2x-6+x)

Solution for 3x+(-x+1)-(x-5)=8-(2x-6+x) equation:

Simplifying
3x + (-1x + 1) + -1(x + -5) = 8 + -1(2x + -6 + x)

Reorder the terms:
3x + (1 + -1x) + -1(x + -5) = 8 + -1(2x + -6 + x)

Remove parenthesis around (1 + -1x)
3x + 1 + -1x + -1(x + -5) = 8 + -1(2x + -6 + x)

Reorder the terms:
3x + 1 + -1x + -1(-5 + x) = 8 + -1(2x + -6 + x)
3x + 1 + -1x + (-5 * -1 + x * -1) = 8 + -1(2x + -6 + x)
3x + 1 + -1x + (5 + -1x) = 8 + -1(2x + -6 + x)

Reorder the terms:
1 + 5 + 3x + -1x + -1x = 8 + -1(2x + -6 + x)

Combine like terms: 1 + 5 = 6
6 + 3x + -1x + -1x = 8 + -1(2x + -6 + x)

Combine like terms: 3x + -1x = 2x
6 + 2x + -1x = 8 + -1(2x + -6 + x)

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

Reorder the terms:
6 + 1x = 8 + -1(-6 + 2x + x)

Combine like terms: 2x + x = 3x
6 + 1x = 8 + -1(-6 + 3x)
6 + 1x = 8 + (-6 * -1 + 3x * -1)
6 + 1x = 8 + (6 + -3x)

Combine like terms: 8 + 6 = 14
6 + 1x = 14 + -3x

Solving
6 + 1x = 14 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + 1x + 3x = 14 + -3x + 3x

Combine like terms: 1x + 3x = 4x
6 + 4x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 4x = 14 + 0
6 + 4x = 14

Add '-6' to each side of the equation.
6 + -6 + 4x = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 14 + -6
4x = 14 + -6

Combine like terms: 14 + -6 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2