-3x-(x-6)=-6-4(5-x)

Solution for -3x-(x-6)=-6-4(5-x) equation:

Simplifying
-3x + -1(x + -6) = -6 + -4(5 + -1x)

Reorder the terms:
-3x + -1(-6 + x) = -6 + -4(5 + -1x)
-3x + (-6 * -1 + x * -1) = -6 + -4(5 + -1x)
-3x + (6 + -1x) = -6 + -4(5 + -1x)

Reorder the terms:
6 + -3x + -1x = -6 + -4(5 + -1x)

Combine like terms: -3x + -1x = -4x
6 + -4x = -6 + -4(5 + -1x)
6 + -4x = -6 + (5 * -4 + -1x * -4)
6 + -4x = -6 + (-20 + 4x)

Combine like terms: -6 + -20 = -26
6 + -4x = -26 + 4x

Solving
6 + -4x = -26 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + -4x + -4x = -26 + 4x + -4x

Combine like terms: -4x + -4x = -8x
6 + -8x = -26 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -8x = -26 + 0
6 + -8x = -26

Add '-6' to each side of the equation.
6 + -6 + -8x = -26 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -26 + -6
-8x = -26 + -6

Combine like terms: -26 + -6 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4