5x-x(x-3)=16-x^2

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Solution for 5x-x(x-3)=16-x^2 equation: 


Simplifying
5x + -1x(x + -3) = 16 + -1x2

Reorder the terms:
5x + -1x(-3 + x) = 16 + -1x2
5x + (-3 * -1x + x * -1x) = 16 + -1x2
5x + (3x + -1x2) = 16 + -1x2

Combine like terms: 5x + 3x = 8x
8x + -1x2 = 16 + -1x2

Add 'x2' to each side of the equation.
8x + -1x2 + x2 = 16 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
8x + 0 = 16 + -1x2 + x2
8x = 16 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
8x = 16 + 0
8x = 16

Solving
8x = 16

Solving for variable 'x'.

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

Divide each side by '8'.
x = 2

Simplifying
x = 2

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