(2x-5)=(3x+5)

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Solution for (2x-5)=(3x+5) equation:


Simplifying
(2x + -5) = (3x + 5)

Reorder the terms:
(-5 + 2x) = (3x + 5)

Remove parenthesis around (-5 + 2x)
-5 + 2x = (3x + 5)

Reorder the terms:
-5 + 2x = (5 + 3x)

Remove parenthesis around (5 + 3x)
-5 + 2x = 5 + 3x

Solving
-5 + 2x = 5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 2x + -3x = 5 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-5 + -1x = 5 + 0
-5 + -1x = 5

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

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

Combine like terms: 5 + 5 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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