3(x+3)=11x-27

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


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

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

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

Solving
9 + 3x = -27 + 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.
9 + 3x + -11x = -27 + 11x + -11x

Combine like terms: 3x + -11x = -8x
9 + -8x = -27 + 11x + -11x

Combine like terms: 11x + -11x = 0
9 + -8x = -27 + 0
9 + -8x = -27

Add '-9' to each side of the equation.
9 + -9 + -8x = -27 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = -27 + -9
-8x = -27 + -9

Combine like terms: -27 + -9 = -36
-8x = -36

Divide each side by '-8'.
x = 4.5

Simplifying
x = 4.5

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