6-2x=-3x+9

Solution for 6-2x=-3x+9 equation:

Simplifying
6 + -2x = -3x + 9

Reorder the terms:
6 + -2x = 9 + -3x

Solving
6 + -2x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + -2x + 3x = 9 + -3x + 3x

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

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

Divide each side by '1'.
x = 3

Simplifying
x = 3