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

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


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

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

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

Combine like terms: 9 + 18 = 27
27 + 9x = 27 + -2x

Add '-27' to each side of the equation.
27 + -27 + 9x = 27 + -27 + -2x

Combine like terms: 27 + -27 = 0
0 + 9x = 27 + -27 + -2x
9x = 27 + -27 + -2x

Combine like terms: 27 + -27 = 0
9x = 0 + -2x
9x = -2x

Solving
9x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
9x + 2x = -2x + 2x

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

Combine like terms: -2x + 2x = 0
11x = 0

Divide each side by '11'.
x = 0

Simplifying
x = 0

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