6(x+1)-4x=8x-(1-x)

Solution for 6(x+1)-4x=8x-(1-x) equation:

Simplifying
6(x + 1) + -4x = 8x + -1(1 + -1x)

Reorder the terms:
6(1 + x) + -4x = 8x + -1(1 + -1x)
(1 * 6 + x * 6) + -4x = 8x + -1(1 + -1x)
(6 + 6x) + -4x = 8x + -1(1 + -1x)

Combine like terms: 6x + -4x = 2x
6 + 2x = 8x + -1(1 + -1x)
6 + 2x = 8x + (1 * -1 + -1x * -1)
6 + 2x = 8x + (-1 + 1x)

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

Combine like terms: 8x + 1x = 9x
6 + 2x = -1 + 9x

Solving
6 + 2x = -1 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + 2x + -9x = -1 + 9x + -9x

Combine like terms: 2x + -9x = -7x
6 + -7x = -1 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -7x = -1 + 0
6 + -7x = -1

Add '-6' to each side of the equation.
6 + -6 + -7x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -1 + -6
-7x = -1 + -6

Combine like terms: -1 + -6 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1