x(x+3)+x(x-6)+35=x(x-5)+x(x+7)

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Solution for x(x+3)+x(x-6)+35=x(x-5)+x(x+7) equation: 


Simplifying
x(x + 3) + x(x + -6) + 35 = x(x + -5) + x(x + 7)

Reorder the terms:
x(3 + x) + x(x + -6) + 35 = x(x + -5) + x(x + 7)
(3 * x + x * x) + x(x + -6) + 35 = x(x + -5) + x(x + 7)
(3x + x2) + x(x + -6) + 35 = x(x + -5) + x(x + 7)

Reorder the terms:
3x + x2 + x(-6 + x) + 35 = x(x + -5) + x(x + 7)
3x + x2 + (-6 * x + x * x) + 35 = x(x + -5) + x(x + 7)
3x + x2 + (-6x + x2) + 35 = x(x + -5) + x(x + 7)

Reorder the terms:
35 + 3x + -6x + x2 + x2 = x(x + -5) + x(x + 7)

Combine like terms: 3x + -6x = -3x
35 + -3x + x2 + x2 = x(x + -5) + x(x + 7)

Combine like terms: x2 + x2 = 2x2
35 + -3x + 2x2 = x(x + -5) + x(x + 7)

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

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

Reorder the terms:
35 + -3x + 2x2 = -5x + 7x + x2 + x2

Combine like terms: -5x + 7x = 2x
35 + -3x + 2x2 = 2x + x2 + x2

Combine like terms: x2 + x2 = 2x2
35 + -3x + 2x2 = 2x + 2x2

Add '-2x2' to each side of the equation.
35 + -3x + 2x2 + -2x2 = 2x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
35 + -3x + 0 = 2x + 2x2 + -2x2
35 + -3x = 2x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
35 + -3x = 2x + 0
35 + -3x = 2x

Solving
35 + -3x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
35 + -3x + -2x = 2x + -2x

Combine like terms: -3x + -2x = -5x
35 + -5x = 2x + -2x

Combine like terms: 2x + -2x = 0
35 + -5x = 0

Add '-35' to each side of the equation.
35 + -35 + -5x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -5x = 0 + -35
-5x = 0 + -35

Combine like terms: 0 + -35 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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