6x+27=12x-9

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Solution for 6x+27=12x-9 equation:


Simplifying
6x + 27 = 12x + -9

Reorder the terms:
27 + 6x = 12x + -9

Reorder the terms:
27 + 6x = -9 + 12x

Solving
27 + 6x = -9 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
27 + 6x + -12x = -9 + 12x + -12x

Combine like terms: 6x + -12x = -6x
27 + -6x = -9 + 12x + -12x

Combine like terms: 12x + -12x = 0
27 + -6x = -9 + 0
27 + -6x = -9

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

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

Combine like terms: -9 + -27 = -36
-6x = -36

Divide each side by '-6'.
x = 6

Simplifying
x = 6

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