(2x+12)=(5x-15)

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Solution for (2x+12)=(5x-15) equation:


Simplifying
(2x + 12) = (5x + -15)

Reorder the terms:
(12 + 2x) = (5x + -15)

Remove parenthesis around (12 + 2x)
12 + 2x = (5x + -15)

Reorder the terms:
12 + 2x = (-15 + 5x)

Remove parenthesis around (-15 + 5x)
12 + 2x = -15 + 5x

Solving
12 + 2x = -15 + 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.
12 + 2x + -5x = -15 + 5x + -5x

Combine like terms: 2x + -5x = -3x
12 + -3x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -3x = -15 + 0
12 + -3x = -15

Add '-12' to each side of the equation.
12 + -12 + -3x = -15 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = -15 + -12
-3x = -15 + -12

Combine like terms: -15 + -12 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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