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

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

Simplifying
2(1 + -1x) + -8(1 + -1x) = x + -1(1 + x)
(1 * 2 + -1x * 2) + -8(1 + -1x) = x + -1(1 + x)
(2 + -2x) + -8(1 + -1x) = x + -1(1 + x)
2 + -2x + (1 * -8 + -1x * -8) = x + -1(1 + x)
2 + -2x + (-8 + 8x) = x + -1(1 + x)

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

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

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

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

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

Solving
-6 + 6x = -1

Solving for variable 'x'.

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

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

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

Combine like terms: -1 + 6 = 5
6x = 5

Divide each side by '6'.
x = 0.8333333333

Simplifying
x = 0.8333333333