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

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

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

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

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

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

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

Combine like terms: 8x + 2x = 10x
6 + 1x = -2 + 10x

Solving
6 + 1x = -2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 1x + -10x = -2 + 10x + -10x

Combine like terms: 1x + -10x = -9x
6 + -9x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -9x = -2 + 0
6 + -9x = -2

Add '-6' to each side of the equation.
6 + -6 + -9x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = -2 + -6
-9x = -2 + -6

Combine like terms: -2 + -6 = -8
-9x = -8

Divide each side by '-9'.
x = 0.8888888889

Simplifying
x = 0.8888888889