11(x+1)=9x+5

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Solution for 11(x+1)=9x+5 equation:


Simplifying
11(x + 1) = 9x + 5

Reorder the terms:
11(1 + x) = 9x + 5
(1 * 11 + x * 11) = 9x + 5
(11 + 11x) = 9x + 5

Reorder the terms:
11 + 11x = 5 + 9x

Solving
11 + 11x = 5 + 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 = 5 + 9x + -9x

Combine like terms: 11x + -9x = 2x
11 + 2x = 5 + 9x + -9x

Combine like terms: 9x + -9x = 0
11 + 2x = 5 + 0
11 + 2x = 5

Add '-11' to each side of the equation.
11 + -11 + 2x = 5 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 5 + -11
2x = 5 + -11

Combine like terms: 5 + -11 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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