(3x+15)=(5x-5)

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Solution for (3x+15)=(5x-5) equation:


Simplifying
(3x + 15) = (5x + -5)

Reorder the terms:
(15 + 3x) = (5x + -5)

Remove parenthesis around (15 + 3x)
15 + 3x = (5x + -5)

Reorder the terms:
15 + 3x = (-5 + 5x)

Remove parenthesis around (-5 + 5x)
15 + 3x = -5 + 5x

Solving
15 + 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.
15 + 3x + -5x = -5 + 5x + -5x

Combine like terms: 3x + -5x = -2x
15 + -2x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -2x = -5 + 0
15 + -2x = -5

Add '-15' to each side of the equation.
15 + -15 + -2x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = -5 + -15
-2x = -5 + -15

Combine like terms: -5 + -15 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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