9(x+9)-2(2x-8)=11

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Solution for 9(x+9)-2(2x-8)=11 equation:


Simplifying
9(x + 9) + -2(2x + -8) = 11

Reorder the terms:
9(9 + x) + -2(2x + -8) = 11
(9 * 9 + x * 9) + -2(2x + -8) = 11
(81 + 9x) + -2(2x + -8) = 11

Reorder the terms:
81 + 9x + -2(-8 + 2x) = 11
81 + 9x + (-8 * -2 + 2x * -2) = 11
81 + 9x + (16 + -4x) = 11

Reorder the terms:
81 + 16 + 9x + -4x = 11

Combine like terms: 81 + 16 = 97
97 + 9x + -4x = 11

Combine like terms: 9x + -4x = 5x
97 + 5x = 11

Solving
97 + 5x = 11

Solving for variable 'x'.

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

Add '-97' to each side of the equation.
97 + -97 + 5x = 11 + -97

Combine like terms: 97 + -97 = 0
0 + 5x = 11 + -97
5x = 11 + -97

Combine like terms: 11 + -97 = -86
5x = -86

Divide each side by '5'.
x = -17.2

Simplifying
x = -17.2

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