9(x+1)+2(x+1)=5x-5

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Solution for 9(x+1)+2(x+1)=5x-5 equation: 


Simplifying
9(x + 1) + 2(x + 1) = 5x + -5

Reorder the terms:
9(1 + x) + 2(x + 1) = 5x + -5
(1 * 9 + x * 9) + 2(x + 1) = 5x + -5
(9 + 9x) + 2(x + 1) = 5x + -5

Reorder the terms:
9 + 9x + 2(1 + x) = 5x + -5
9 + 9x + (1 * 2 + x * 2) = 5x + -5
9 + 9x + (2 + 2x) = 5x + -5

Reorder the terms:
9 + 2 + 9x + 2x = 5x + -5

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

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

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

Solving
11 + 11x = -5 + 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
11 + 6x = -5 + 0
11 + 6x = -5

Add '-11' to each side of the equation.
11 + -11 + 6x = -5 + -11

Combine like terms: 11 + -11 = 0
0 + 6x = -5 + -11
6x = -5 + -11

Combine like terms: -5 + -11 = -16
6x = -16

Divide each side by '6'.
x = -2.666666667

Simplifying
x = -2.666666667

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