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

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


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

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

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

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

Solving
-5 + 3x = 5 + -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.
-5 + 3x + 2x = 5 + -2x + 2x

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

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

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

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

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

Divide each side by '5'.
x = 2

Simplifying
x = 2

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