(3x+27)=(6x-9)

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Solution for (3x+27)=(6x-9) equation:


Simplifying
(3x + 27) = (6x + -9)

Reorder the terms:
(27 + 3x) = (6x + -9)

Remove parenthesis around (27 + 3x)
27 + 3x = (6x + -9)

Reorder the terms:
27 + 3x = (-9 + 6x)

Remove parenthesis around (-9 + 6x)
27 + 3x = -9 + 6x

Solving
27 + 3x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
27 + 3x + -6x = -9 + 6x + -6x

Combine like terms: 3x + -6x = -3x
27 + -3x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
27 + -3x = -9 + 0
27 + -3x = -9

Add '-27' to each side of the equation.
27 + -27 + -3x = -9 + -27

Combine like terms: 27 + -27 = 0
0 + -3x = -9 + -27
-3x = -9 + -27

Combine like terms: -9 + -27 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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