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

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


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

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

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

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

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

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

Solving
-5 + 2x = 1

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 + 2x = 1 + 5

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

Combine like terms: 1 + 5 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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