2x(x-4)-x(2x+5)=52

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Solution for 2x(x-4)-x(2x+5)=52 equation:


Simplifying
2x(x + -4) + -1x(2x + 5) = 52

Reorder the terms:
2x(-4 + x) + -1x(2x + 5) = 52
(-4 * 2x + x * 2x) + -1x(2x + 5) = 52
(-8x + 2x2) + -1x(2x + 5) = 52

Reorder the terms:
-8x + 2x2 + -1x(5 + 2x) = 52
-8x + 2x2 + (5 * -1x + 2x * -1x) = 52
-8x + 2x2 + (-5x + -2x2) = 52

Reorder the terms:
-8x + -5x + 2x2 + -2x2 = 52

Combine like terms: -8x + -5x = -13x
-13x + 2x2 + -2x2 = 52

Combine like terms: 2x2 + -2x2 = 0
-13x + 0 = 52
-13x = 52

Solving
-13x = 52

Solving for variable 'x'.

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

Divide each side by '-13'.
x = -4

Simplifying
x = -4

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