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

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


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

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

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

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

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

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

Combine like terms: x + -2x = -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

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