2(x+3)-3(x-1)=0

Solution for 2(x+3)-3(x-1)=0 equation:

Simplifying
2(x + 3) + -3(x + -1) = 0

Reorder the terms:
2(3 + x) + -3(x + -1) = 0
(3 * 2 + x * 2) + -3(x + -1) = 0
(6 + 2x) + -3(x + -1) = 0

Reorder the terms:
6 + 2x + -3(-1 + x) = 0
6 + 2x + (-1 * -3 + x * -3) = 0
6 + 2x + (3 + -3x) = 0

Reorder the terms:
6 + 3 + 2x + -3x = 0

Combine like terms: 6 + 3 = 9
9 + 2x + -3x = 0

Combine like terms: 2x + -3x = -1x
9 + -1x = 0

Solving
9 + -1x = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9