-12+9(3x+9)=3(1+11x)-12x

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Solution for -12+9(3x+9)=3(1+11x)-12x equation:


Simplifying
-12 + 9(3x + 9) = 3(1 + 11x) + -12x

Reorder the terms:
-12 + 9(9 + 3x) = 3(1 + 11x) + -12x
-12 + (9 * 9 + 3x * 9) = 3(1 + 11x) + -12x
-12 + (81 + 27x) = 3(1 + 11x) + -12x

Combine like terms: -12 + 81 = 69
69 + 27x = 3(1 + 11x) + -12x
69 + 27x = (1 * 3 + 11x * 3) + -12x
69 + 27x = (3 + 33x) + -12x

Combine like terms: 33x + -12x = 21x
69 + 27x = 3 + 21x

Solving
69 + 27x = 3 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
69 + 27x + -21x = 3 + 21x + -21x

Combine like terms: 27x + -21x = 6x
69 + 6x = 3 + 21x + -21x

Combine like terms: 21x + -21x = 0
69 + 6x = 3 + 0
69 + 6x = 3

Add '-69' to each side of the equation.
69 + -69 + 6x = 3 + -69

Combine like terms: 69 + -69 = 0
0 + 6x = 3 + -69
6x = 3 + -69

Combine like terms: 3 + -69 = -66
6x = -66

Divide each side by '6'.
x = -11

Simplifying
x = -11

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