9(x+3)+2(x+3)=6x-6

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Solution for 9(x+3)+2(x+3)=6x-6 equation:


Simplifying
9(x + 3) + 2(x + 3) = 6x + -6

Reorder the terms:
9(3 + x) + 2(x + 3) = 6x + -6
(3 * 9 + x * 9) + 2(x + 3) = 6x + -6
(27 + 9x) + 2(x + 3) = 6x + -6

Reorder the terms:
27 + 9x + 2(3 + x) = 6x + -6
27 + 9x + (3 * 2 + x * 2) = 6x + -6
27 + 9x + (6 + 2x) = 6x + -6

Reorder the terms:
27 + 6 + 9x + 2x = 6x + -6

Combine like terms: 27 + 6 = 33
33 + 9x + 2x = 6x + -6

Combine like terms: 9x + 2x = 11x
33 + 11x = 6x + -6

Reorder the terms:
33 + 11x = -6 + 6x

Solving
33 + 11x = -6 + 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.
33 + 11x + -6x = -6 + 6x + -6x

Combine like terms: 11x + -6x = 5x
33 + 5x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
33 + 5x = -6 + 0
33 + 5x = -6

Add '-33' to each side of the equation.
33 + -33 + 5x = -6 + -33

Combine like terms: 33 + -33 = 0
0 + 5x = -6 + -33
5x = -6 + -33

Combine like terms: -6 + -33 = -39
5x = -39

Divide each side by '5'.
x = -7.8

Simplifying
x = -7.8

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