x(x-2)-15=x(x+5)-3(x+5)

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Solution for x(x-2)-15=x(x+5)-3(x+5) equation:


Simplifying
x(x + -2) + -15 = x(x + 5) + -3(x + 5)

Reorder the terms:
x(-2 + x) + -15 = x(x + 5) + -3(x + 5)
(-2 * x + x * x) + -15 = x(x + 5) + -3(x + 5)
(-2x + x2) + -15 = x(x + 5) + -3(x + 5)

Reorder the terms:
-15 + -2x + x2 = x(x + 5) + -3(x + 5)

Reorder the terms:
-15 + -2x + x2 = x(5 + x) + -3(x + 5)
-15 + -2x + x2 = (5 * x + x * x) + -3(x + 5)
-15 + -2x + x2 = (5x + x2) + -3(x + 5)

Reorder the terms:
-15 + -2x + x2 = 5x + x2 + -3(5 + x)
-15 + -2x + x2 = 5x + x2 + (5 * -3 + x * -3)
-15 + -2x + x2 = 5x + x2 + (-15 + -3x)

Reorder the terms:
-15 + -2x + x2 = -15 + 5x + -3x + x2

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

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

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

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

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

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

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

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

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

Solving
-2x = 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.
-2x + -2x = 2x + -2x

Combine like terms: -2x + -2x = -4x
-4x = 2x + -2x

Combine like terms: 2x + -2x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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