27(x+11)=18(3x-9)

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Solution for 27(x+11)=18(3x-9) equation: 


Simplifying
27(x + 11) = 18(3x + -9)

Reorder the terms:
27(11 + x) = 18(3x + -9)
(11 * 27 + x * 27) = 18(3x + -9)
(297 + 27x) = 18(3x + -9)

Reorder the terms:
297 + 27x = 18(-9 + 3x)
297 + 27x = (-9 * 18 + 3x * 18)
297 + 27x = (-162 + 54x)

Solving
297 + 27x = -162 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
297 + 27x + -54x = -162 + 54x + -54x

Combine like terms: 27x + -54x = -27x
297 + -27x = -162 + 54x + -54x

Combine like terms: 54x + -54x = 0
297 + -27x = -162 + 0
297 + -27x = -162

Add '-297' to each side of the equation.
297 + -297 + -27x = -162 + -297

Combine like terms: 297 + -297 = 0
0 + -27x = -162 + -297
-27x = -162 + -297

Combine like terms: -162 + -297 = -459
-27x = -459

Divide each side by '-27'.
x = 17

Simplifying
x = 17

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