11(x+9)=5(x-10)

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Solution for 11(x+9)=5(x-10) equation:


Simplifying
11(x + 9) = 5(x + -10)

Reorder the terms:
11(9 + x) = 5(x + -10)
(9 * 11 + x * 11) = 5(x + -10)
(99 + 11x) = 5(x + -10)

Reorder the terms:
99 + 11x = 5(-10 + x)
99 + 11x = (-10 * 5 + x * 5)
99 + 11x = (-50 + 5x)

Solving
99 + 11x = -50 + 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.
99 + 11x + -5x = -50 + 5x + -5x

Combine like terms: 11x + -5x = 6x
99 + 6x = -50 + 5x + -5x

Combine like terms: 5x + -5x = 0
99 + 6x = -50 + 0
99 + 6x = -50

Add '-99' to each side of the equation.
99 + -99 + 6x = -50 + -99

Combine like terms: 99 + -99 = 0
0 + 6x = -50 + -99
6x = -50 + -99

Combine like terms: -50 + -99 = -149
6x = -149

Divide each side by '6'.
x = -24.83333333

Simplifying
x = -24.83333333

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