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

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

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

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

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

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

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

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

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

Solving
6 + 1x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 1x + -2x = -9 + 2x + -2x

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

Combine like terms: 2x + -2x = 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 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15