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

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


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

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

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

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

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

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

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

Solving
5 + -1x = 2

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 + -1x = 2 + -5

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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