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

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

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

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

Reorder the terms:
6 = -3 + -6 + -3x + 2x

Combine like terms: -3 + -6 = -9
6 = -9 + -3x + 2x

Combine like terms: -3x + 2x = -1x
6 = -9 + -1x

Solving
6 = -9 + -1x

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: -9 + -6 = -15
x = -15

Simplifying
x = -15