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

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

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

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

Combine like terms: 6 + -6 = 0
0 + -1x = 6 + -3(x + 4)
-1x = 6 + -3(x + 4)

Reorder the terms:
-1x = 6 + -3(4 + x)
-1x = 6 + (4 * -3 + x * -3)
-1x = 6 + (-12 + -3x)

Combine like terms: 6 + -12 = -6
-1x = -6 + -3x

Solving
-1x = -6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-1x + 3x = -6 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
2x = -6 + 0
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3