11(x+1)=9(x-3)

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Solution for 11(x+1)=9(x-3) equation: 


Simplifying
11(x + 1) = 9(x + -3)

Reorder the terms:
11(1 + x) = 9(x + -3)
(1 * 11 + x * 11) = 9(x + -3)
(11 + 11x) = 9(x + -3)

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

Solving
11 + 11x = -27 + 9x

Solving for variable 'x'.

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

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

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

Combine like terms: 9x + -9x = 0
11 + 2x = -27 + 0
11 + 2x = -27

Add '-11' to each side of the equation.
11 + -11 + 2x = -27 + -11

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

Combine like terms: -27 + -11 = -38
2x = -38

Divide each side by '2'.
x = -19

Simplifying
x = -19

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