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

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

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

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

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

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

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

Combine like terms: -5x + 1x = -4x
-6 + -4x = 2x + -2(x + -3)

Reorder the terms:
-6 + -4x = 2x + -2(-3 + x)
-6 + -4x = 2x + (-3 * -2 + x * -2)
-6 + -4x = 2x + (6 + -2x)

Reorder the terms:
-6 + -4x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + -4x = 6 + 0
-6 + -4x = 6

Solving
-6 + -4x = 6

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 + -4x = 6 + 6

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

Combine like terms: 6 + 6 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3