x(2x-2)+x(3x-3)=(5x+9)(x-7)

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Solution for x(2x-2)+x(3x-3)=(5x+9)(x-7) equation: 


Simplifying
x(2x + -2) + x(3x + -3) = (5x + 9)(x + -7)

Reorder the terms:
x(-2 + 2x) + x(3x + -3) = (5x + 9)(x + -7)
(-2 * x + 2x * x) + x(3x + -3) = (5x + 9)(x + -7)
(-2x + 2x2) + x(3x + -3) = (5x + 9)(x + -7)

Reorder the terms:
-2x + 2x2 + x(-3 + 3x) = (5x + 9)(x + -7)
-2x + 2x2 + (-3 * x + 3x * x) = (5x + 9)(x + -7)
-2x + 2x2 + (-3x + 3x2) = (5x + 9)(x + -7)

Reorder the terms:
-2x + -3x + 2x2 + 3x2 = (5x + 9)(x + -7)

Combine like terms: -2x + -3x = -5x
-5x + 2x2 + 3x2 = (5x + 9)(x + -7)

Combine like terms: 2x2 + 3x2 = 5x2
-5x + 5x2 = (5x + 9)(x + -7)

Reorder the terms:
-5x + 5x2 = (9 + 5x)(x + -7)

Reorder the terms:
-5x + 5x2 = (9 + 5x)(-7 + x)

Multiply (9 + 5x) * (-7 + x)
-5x + 5x2 = (9(-7 + x) + 5x * (-7 + x))
-5x + 5x2 = ((-7 * 9 + x * 9) + 5x * (-7 + x))
-5x + 5x2 = ((-63 + 9x) + 5x * (-7 + x))
-5x + 5x2 = (-63 + 9x + (-7 * 5x + x * 5x))
-5x + 5x2 = (-63 + 9x + (-35x + 5x2))

Combine like terms: 9x + -35x = -26x
-5x + 5x2 = (-63 + -26x + 5x2)

Add '-5x2' to each side of the equation.
-5x + 5x2 + -5x2 = -63 + -26x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-5x + 0 = -63 + -26x + 5x2 + -5x2
-5x = -63 + -26x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-5x = -63 + -26x + 0
-5x = -63 + -26x

Solving
-5x = -63 + -26x

Solving for variable 'x'.

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

Add '26x' to each side of the equation.
-5x + 26x = -63 + -26x + 26x

Combine like terms: -5x + 26x = 21x
21x = -63 + -26x + 26x

Combine like terms: -26x + 26x = 0
21x = -63 + 0
21x = -63

Divide each side by '21'.
x = -3

Simplifying
x = -3

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