(2x-5)=(x+2)

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Solution for (2x-5)=(x+2) equation:


Simplifying
(2x + -5) = (x + 2)

Reorder the terms:
(-5 + 2x) = (x + 2)

Remove parenthesis around (-5 + 2x)
-5 + 2x = (x + 2)

Reorder the terms:
-5 + 2x = (2 + x)

Remove parenthesis around (2 + x)
-5 + 2x = 2 + x

Solving
-5 + 2x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 2x + -1x = 2 + x + -1x

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

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

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 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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