11(1-x)-11=10(-2x-9)

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Solution for 11(1-x)-11=10(-2x-9) equation:


Simplifying
11(1 + -1x) + -11 = 10(-2x + -9)
(1 * 11 + -1x * 11) + -11 = 10(-2x + -9)
(11 + -11x) + -11 = 10(-2x + -9)

Reorder the terms:
11 + -11 + -11x = 10(-2x + -9)

Combine like terms: 11 + -11 = 0
0 + -11x = 10(-2x + -9)
-11x = 10(-2x + -9)

Reorder the terms:
-11x = 10(-9 + -2x)
-11x = (-9 * 10 + -2x * 10)
-11x = (-90 + -20x)

Solving
-11x = -90 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-11x + 20x = -90 + -20x + 20x

Combine like terms: -11x + 20x = 9x
9x = -90 + -20x + 20x

Combine like terms: -20x + 20x = 0
9x = -90 + 0
9x = -90

Divide each side by '9'.
x = -10

Simplifying
x = -10

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