3(x-2)-4(x-1)=0

Solution for 3(x-2)-4(x-1)=0 equation:

Simplifying
3(x + -2) + -4(x + -1) = 0

Reorder the terms:
3(-2 + x) + -4(x + -1) = 0
(-2 * 3 + x * 3) + -4(x + -1) = 0
(-6 + 3x) + -4(x + -1) = 0

Reorder the terms:
-6 + 3x + -4(-1 + x) = 0
-6 + 3x + (-1 * -4 + x * -4) = 0
-6 + 3x + (4 + -4x) = 0

Reorder the terms:
-6 + 4 + 3x + -4x = 0

Combine like terms: -6 + 4 = -2
-2 + 3x + -4x = 0

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

Solving
-2 + -1x = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2