5(-10x-9)-9(9-3x)=-8x-9x

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Solution for 5(-10x-9)-9(9-3x)=-8x-9x equation:


Simplifying
5(-10x + -9) + -9(9 + -3x) = -8x + -9x

Reorder the terms:
5(-9 + -10x) + -9(9 + -3x) = -8x + -9x
(-9 * 5 + -10x * 5) + -9(9 + -3x) = -8x + -9x
(-45 + -50x) + -9(9 + -3x) = -8x + -9x
-45 + -50x + (9 * -9 + -3x * -9) = -8x + -9x
-45 + -50x + (-81 + 27x) = -8x + -9x

Reorder the terms:
-45 + -81 + -50x + 27x = -8x + -9x

Combine like terms: -45 + -81 = -126
-126 + -50x + 27x = -8x + -9x

Combine like terms: -50x + 27x = -23x
-126 + -23x = -8x + -9x

Combine like terms: -8x + -9x = -17x
-126 + -23x = -17x

Solving
-126 + -23x = -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
-126 + -23x + 17x = -17x + 17x

Combine like terms: -23x + 17x = -6x
-126 + -6x = -17x + 17x

Combine like terms: -17x + 17x = 0
-126 + -6x = 0

Add '126' to each side of the equation.
-126 + 126 + -6x = 0 + 126

Combine like terms: -126 + 126 = 0
0 + -6x = 0 + 126
-6x = 0 + 126

Combine like terms: 0 + 126 = 126
-6x = 126

Divide each side by '-6'.
x = -21

Simplifying
x = -21

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