2(x-3)=x+6

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

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

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

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

Solving
-6 + 2x = 6 + 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 + 2x + -1x = 6 + x + -1x

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

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

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

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

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

Divide each side by '1'.
x = 12

Simplifying
x = 12