(3x+12)=(5x-6)

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Solution for (3x+12)=(5x-6) equation:


Simplifying
(3x + 12) = (5x + -6)

Reorder the terms:
(12 + 3x) = (5x + -6)

Remove parenthesis around (12 + 3x)
12 + 3x = (5x + -6)

Reorder the terms:
12 + 3x = (-6 + 5x)

Remove parenthesis around (-6 + 5x)
12 + 3x = -6 + 5x

Solving
12 + 3x = -6 + 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 + 3x + -5x = -6 + 5x + -5x

Combine like terms: 3x + -5x = -2x
12 + -2x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -2x = -6 + 0
12 + -2x = -6

Add '-12' to each side of the equation.
12 + -12 + -2x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -6 + -12
-2x = -6 + -12

Combine like terms: -6 + -12 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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