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

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

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

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

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

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

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

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

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

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

Solving
1x = 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.
1x + -2x = 2x + -2x

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

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0