2x(x+7)-90=5x(x-7)-x(3x-4)

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Solution for 2x(x+7)-90=5x(x-7)-x(3x-4) equation: 


Simplifying
2x(x + 7) + -90 = 5x(x + -7) + -1x(3x + -4)

Reorder the terms:
2x(7 + x) + -90 = 5x(x + -7) + -1x(3x + -4)
(7 * 2x + x * 2x) + -90 = 5x(x + -7) + -1x(3x + -4)
(14x + 2x2) + -90 = 5x(x + -7) + -1x(3x + -4)

Reorder the terms:
-90 + 14x + 2x2 = 5x(x + -7) + -1x(3x + -4)

Reorder the terms:
-90 + 14x + 2x2 = 5x(-7 + x) + -1x(3x + -4)
-90 + 14x + 2x2 = (-7 * 5x + x * 5x) + -1x(3x + -4)
-90 + 14x + 2x2 = (-35x + 5x2) + -1x(3x + -4)

Reorder the terms:
-90 + 14x + 2x2 = -35x + 5x2 + -1x(-4 + 3x)
-90 + 14x + 2x2 = -35x + 5x2 + (-4 * -1x + 3x * -1x)
-90 + 14x + 2x2 = -35x + 5x2 + (4x + -3x2)

Reorder the terms:
-90 + 14x + 2x2 = -35x + 4x + 5x2 + -3x2

Combine like terms: -35x + 4x = -31x
-90 + 14x + 2x2 = -31x + 5x2 + -3x2

Combine like terms: 5x2 + -3x2 = 2x2
-90 + 14x + 2x2 = -31x + 2x2

Add '-2x2' to each side of the equation.
-90 + 14x + 2x2 + -2x2 = -31x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-90 + 14x + 0 = -31x + 2x2 + -2x2
-90 + 14x = -31x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-90 + 14x = -31x + 0
-90 + 14x = -31x

Solving
-90 + 14x = -31x

Solving for variable 'x'.

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

Add '31x' to each side of the equation.
-90 + 14x + 31x = -31x + 31x

Combine like terms: 14x + 31x = 45x
-90 + 45x = -31x + 31x

Combine like terms: -31x + 31x = 0
-90 + 45x = 0

Add '90' to each side of the equation.
-90 + 90 + 45x = 0 + 90

Combine like terms: -90 + 90 = 0
0 + 45x = 0 + 90
45x = 0 + 90

Combine like terms: 0 + 90 = 90
45x = 90

Divide each side by '45'.
x = 2

Simplifying
x = 2

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