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

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


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

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

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

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

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

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

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

Reorder the terms:
1 = -3 + 2x

Solving
1 = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1 + -2x = -3 + 2x + -2x

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

Add '-1' to each side of the equation.
1 + -1 + -2x = -3 + -1

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

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

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

Simplifying
x = 2

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