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

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

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

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

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

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

Combine like terms: -6 + 1 = -5
-5 + 3x + -2x = 0

Combine like terms: 3x + -2x = 1x
-5 + 1x = 0

Solving
-5 + 1x = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 0 + 5
1x = 0 + 5

Combine like terms: 0 + 5 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5