9(11-x)=2(7x-16)-x

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Solution for 9(11-x)=2(7x-16)-x equation: 


Simplifying
9(11 + -1x) = 2(7x + -16) + -1x
(11 * 9 + -1x * 9) = 2(7x + -16) + -1x
(99 + -9x) = 2(7x + -16) + -1x

Reorder the terms:
99 + -9x = 2(-16 + 7x) + -1x
99 + -9x = (-16 * 2 + 7x * 2) + -1x
99 + -9x = (-32 + 14x) + -1x

Combine like terms: 14x + -1x = 13x
99 + -9x = -32 + 13x

Solving
99 + -9x = -32 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
99 + -9x + -13x = -32 + 13x + -13x

Combine like terms: -9x + -13x = -22x
99 + -22x = -32 + 13x + -13x

Combine like terms: 13x + -13x = 0
99 + -22x = -32 + 0
99 + -22x = -32

Add '-99' to each side of the equation.
99 + -99 + -22x = -32 + -99

Combine like terms: 99 + -99 = 0
0 + -22x = -32 + -99
-22x = -32 + -99

Combine like terms: -32 + -99 = -131
-22x = -131

Divide each side by '-22'.
x = 5.954545455

Simplifying
x = 5.954545455

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