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

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


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

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

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

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

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

Solving
5 + 3x = -5 + 5x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -5 + -5 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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