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

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

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

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

Remove parenthesis around (-1 + 2x)
-1 + 2x + -1(x + -3) = 0

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

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

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

Combine like terms: 2x + -1x = 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