2(x-3)=-x

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

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

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

Solving
-6 + 2x = -1x

Solving for variable 'x'.

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 3x = 0 + 6

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

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

Divide each side by '3'.
x = 2

Simplifying
x = 2