9(2x+3)=12x-9

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Solution for 9(2x+3)=12x-9 equation:


Simplifying
9(2x + 3) = 12x + -9

Reorder the terms:
9(3 + 2x) = 12x + -9
(3 * 9 + 2x * 9) = 12x + -9
(27 + 18x) = 12x + -9

Reorder the terms:
27 + 18x = -9 + 12x

Solving
27 + 18x = -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 + 18x + -12x = -9 + 12x + -12x

Combine like terms: 18x + -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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