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

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


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

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

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

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

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

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

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

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

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

Solving
-1 + x = -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 + x + -2x = -3 + 2x + -2x

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

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

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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