2x-6=-x+21

Solution for 2x-6=-x+21 equation:

Simplifying
2x + -6 = -1x + 21

Reorder the terms:
-6 + 2x = -1x + 21

Reorder the terms:
-6 + 2x = 21 + -1x

Solving
-6 + 2x = 21 + -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 = 21 + -1x + x

Combine like terms: 2x + x = 3x
-6 + 3x = 21 + -1x + x

Combine like terms: -1x + x = 0
-6 + 3x = 21 + 0
-6 + 3x = 21

Add '6' to each side of the equation.
-6 + 6 + 3x = 21 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 21 + 6
3x = 21 + 6

Combine like terms: 21 + 6 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9