11(8+x)=9(5+x)

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Solution for 11(8+x)=9(5+x) equation:


Simplifying
11(8 + x) = 9(5 + x)
(8 * 11 + x * 11) = 9(5 + x)
(88 + 11x) = 9(5 + x)
88 + 11x = (5 * 9 + x * 9)
88 + 11x = (45 + 9x)

Solving
88 + 11x = 45 + 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.
88 + 11x + -9x = 45 + 9x + -9x

Combine like terms: 11x + -9x = 2x
88 + 2x = 45 + 9x + -9x

Combine like terms: 9x + -9x = 0
88 + 2x = 45 + 0
88 + 2x = 45

Add '-88' to each side of the equation.
88 + -88 + 2x = 45 + -88

Combine like terms: 88 + -88 = 0
0 + 2x = 45 + -88
2x = 45 + -88

Combine like terms: 45 + -88 = -43
2x = -43

Divide each side by '2'.
x = -21.5

Simplifying
x = -21.5

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