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

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

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

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

Reorder the terms:
-3 + 3x + -2(-2 + x) = 0
-3 + 3x + (-2 * -2 + x * -2) = 0
-3 + 3x + (4 + -2x) = 0

Reorder the terms:
-3 + 4 + 3x + -2x = 0

Combine like terms: -3 + 4 = 1
1 + 3x + -2x = 0

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

Solving
1 + 1x = 0

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = -1