(x+15)+(x+15)=(5x-30)

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Solution for (x+15)+(x+15)=(5x-30) equation:


Simplifying
(x + 15) + (x + 15) = (5x + -30)

Reorder the terms:
(15 + x) + (x + 15) = (5x + -30)

Remove parenthesis around (15 + x)
15 + x + (x + 15) = (5x + -30)

Reorder the terms:
15 + x + (15 + x) = (5x + -30)

Remove parenthesis around (15 + x)
15 + x + 15 + x = (5x + -30)

Reorder the terms:
15 + 15 + x + x = (5x + -30)

Combine like terms: 15 + 15 = 30
30 + x + x = (5x + -30)

Combine like terms: x + x = 2x
30 + 2x = (5x + -30)

Reorder the terms:
30 + 2x = (-30 + 5x)

Remove parenthesis around (-30 + 5x)
30 + 2x = -30 + 5x

Solving
30 + 2x = -30 + 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.
30 + 2x + -5x = -30 + 5x + -5x

Combine like terms: 2x + -5x = -3x
30 + -3x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + -3x = -30 + 0
30 + -3x = -30

Add '-30' to each side of the equation.
30 + -30 + -3x = -30 + -30

Combine like terms: 30 + -30 = 0
0 + -3x = -30 + -30
-3x = -30 + -30

Combine like terms: -30 + -30 = -60
-3x = -60

Divide each side by '-3'.
x = 20

Simplifying
x = 20

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