(6x-9)=(3x+12)

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Solution for (6x-9)=(3x+12) equation:


Simplifying
(6x + -9) = (3x + 12)

Reorder the terms:
(-9 + 6x) = (3x + 12)

Remove parenthesis around (-9 + 6x)
-9 + 6x = (3x + 12)

Reorder the terms:
-9 + 6x = (12 + 3x)

Remove parenthesis around (12 + 3x)
-9 + 6x = 12 + 3x

Solving
-9 + 6x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + 6x + -3x = 12 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-9 + 3x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 3x = 12 + 0
-9 + 3x = 12

Add '9' to each side of the equation.
-9 + 9 + 3x = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 12 + 9
3x = 12 + 9

Combine like terms: 12 + 9 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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