(x-3)(x+5)=x(x-7)-15

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Solution for (x-3)(x+5)=x(x-7)-15 equation: 


Simplifying
(x + -3)(x + 5) = x(x + -7) + -15

Reorder the terms:
(-3 + x)(x + 5) = x(x + -7) + -15

Reorder the terms:
(-3 + x)(5 + x) = x(x + -7) + -15

Multiply (-3 + x) * (5 + x)
(-3(5 + x) + x(5 + x)) = x(x + -7) + -15
((5 * -3 + x * -3) + x(5 + x)) = x(x + -7) + -15
((-15 + -3x) + x(5 + x)) = x(x + -7) + -15
(-15 + -3x + (5 * x + x * x)) = x(x + -7) + -15
(-15 + -3x + (5x + x2)) = x(x + -7) + -15

Combine like terms: -3x + 5x = 2x
(-15 + 2x + x2) = x(x + -7) + -15

Reorder the terms:
-15 + 2x + x2 = x(-7 + x) + -15
-15 + 2x + x2 = (-7 * x + x * x) + -15
-15 + 2x + x2 = (-7x + x2) + -15

Reorder the terms:
-15 + 2x + x2 = -15 + -7x + x2

Add '15' to each side of the equation.
-15 + 2x + 15 + x2 = -15 + -7x + 15 + x2

Reorder the terms:
-15 + 15 + 2x + x2 = -15 + -7x + 15 + x2

Combine like terms: -15 + 15 = 0
0 + 2x + x2 = -15 + -7x + 15 + x2
2x + x2 = -15 + -7x + 15 + x2

Reorder the terms:
2x + x2 = -15 + 15 + -7x + x2

Combine like terms: -15 + 15 = 0
2x + x2 = 0 + -7x + x2
2x + x2 = -7x + x2

Add '-1x2' to each side of the equation.
2x + x2 + -1x2 = -7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x + 0 = -7x + x2 + -1x2
2x = -7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x = -7x + 0
2x = -7x

Solving
2x = -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
2x + 7x = -7x + 7x

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

Combine like terms: -7x + 7x = 0
9x = 0

Divide each side by '9'.
x = 0

Simplifying
x = 0

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