2x(x-2)-x(2x+5)=27

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Solution for 2x(x-2)-x(2x+5)=27 equation: 


Simplifying
2x(x + -2) + -1x(2x + 5) = 27

Reorder the terms:
2x(-2 + x) + -1x(2x + 5) = 27
(-2 * 2x + x * 2x) + -1x(2x + 5) = 27
(-4x + 2x2) + -1x(2x + 5) = 27

Reorder the terms:
-4x + 2x2 + -1x(5 + 2x) = 27
-4x + 2x2 + (5 * -1x + 2x * -1x) = 27
-4x + 2x2 + (-5x + -2x2) = 27

Reorder the terms:
-4x + -5x + 2x2 + -2x2 = 27

Combine like terms: -4x + -5x = -9x
-9x + 2x2 + -2x2 = 27

Combine like terms: 2x2 + -2x2 = 0
-9x + 0 = 27
-9x = 27

Solving
-9x = 27

Solving for variable 'x'.

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

Divide each side by '-9'.
x = -3

Simplifying
x = -3

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