(-2x+6)=-2x-(x-9)

Solution for (-2x+6)=-2x-(x-9) equation:

Simplifying
(-2x + 6) = -2x + -1(x + -9)

Reorder the terms:
(6 + -2x) = -2x + -1(x + -9)

Remove parenthesis around (6 + -2x)
6 + -2x = -2x + -1(x + -9)

Reorder the terms:
6 + -2x = -2x + -1(-9 + x)
6 + -2x = -2x + (-9 * -1 + x * -1)
6 + -2x = -2x + (9 + -1x)

Reorder the terms:
6 + -2x = 9 + -2x + -1x

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

Solving
6 + -2x = 9 + -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.
6 + -2x + 3x = 9 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
6 + 1x = 9 + 0
6 + 1x = 9

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

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

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

Divide each side by '1'.
x = 3

Simplifying
x = 3