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

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

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

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

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

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

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

Solving
-1x = 0

Solving for variable 'x'.

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0