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

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


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

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

Reorder the terms:
27 + 9x = -3 + 11x

Solving
27 + 9x = -3 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
27 + 9x + -11x = -3 + 11x + -11x

Combine like terms: 9x + -11x = -2x
27 + -2x = -3 + 11x + -11x

Combine like terms: 11x + -11x = 0
27 + -2x = -3 + 0
27 + -2x = -3

Add '-27' to each side of the equation.
27 + -27 + -2x = -3 + -27

Combine like terms: 27 + -27 = 0
0 + -2x = -3 + -27
-2x = -3 + -27

Combine like terms: -3 + -27 = -30
-2x = -30

Divide each side by '-2'.
x = 15

Simplifying
x = 15

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