3(x+9)=11x-7

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Solution for 3(x+9)=11x-7 equation:


Simplifying
3(x + 9) = 11x + -7

Reorder the terms:
3(9 + x) = 11x + -7
(9 * 3 + x * 3) = 11x + -7
(27 + 3x) = 11x + -7

Reorder the terms:
27 + 3x = -7 + 11x

Solving
27 + 3x = -7 + 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 + 3x + -11x = -7 + 11x + -11x

Combine like terms: 3x + -11x = -8x
27 + -8x = -7 + 11x + -11x

Combine like terms: 11x + -11x = 0
27 + -8x = -7 + 0
27 + -8x = -7

Add '-27' to each side of the equation.
27 + -27 + -8x = -7 + -27

Combine like terms: 27 + -27 = 0
0 + -8x = -7 + -27
-8x = -7 + -27

Combine like terms: -7 + -27 = -34
-8x = -34

Divide each side by '-8'.
x = 4.25

Simplifying
x = 4.25

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