2(x-3)-3x=x

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

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

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

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

Solving
-6 + -1x = x

Solving for variable 'x'.

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

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

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

Combine like terms: x + -1x = 0
-6 + -2x = 0

Add '6' to each side of the equation.
-6 + 6 + -2x = 0 + 6

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

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

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

Simplifying
x = -3