x(x+3)-x(x-4)=9x-16

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Solution for x(x+3)-x(x-4)=9x-16 equation: 


Simplifying
x(x + 3) + -1x(x + -4) = 9x + -16

Reorder the terms:
x(3 + x) + -1x(x + -4) = 9x + -16
(3 * x + x * x) + -1x(x + -4) = 9x + -16
(3x + x2) + -1x(x + -4) = 9x + -16

Reorder the terms:
3x + x2 + -1x(-4 + x) = 9x + -16
3x + x2 + (-4 * -1x + x * -1x) = 9x + -16
3x + x2 + (4x + -1x2) = 9x + -16

Reorder the terms:
3x + 4x + x2 + -1x2 = 9x + -16

Combine like terms: 3x + 4x = 7x
7x + x2 + -1x2 = 9x + -16

Combine like terms: x2 + -1x2 = 0
7x + 0 = 9x + -16
7x = 9x + -16

Reorder the terms:
7x = -16 + 9x

Solving
7x = -16 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
7x + -9x = -16 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-2x = -16 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2x = -16 + 0
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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