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

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


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

Reorder the terms:
2x(-5 + x) = (x + -2)(x + 5) + x(x + -3)
(-5 * 2x + x * 2x) = (x + -2)(x + 5) + x(x + -3)
(-10x + 2x2) = (x + -2)(x + 5) + x(x + -3)

Reorder the terms:
-10x + 2x2 = (-2 + x)(x + 5) + x(x + -3)

Reorder the terms:
-10x + 2x2 = (-2 + x)(5 + x) + x(x + -3)

Multiply (-2 + x) * (5 + x)
-10x + 2x2 = (-2(5 + x) + x(5 + x)) + x(x + -3)
-10x + 2x2 = ((5 * -2 + x * -2) + x(5 + x)) + x(x + -3)
-10x + 2x2 = ((-10 + -2x) + x(5 + x)) + x(x + -3)
-10x + 2x2 = (-10 + -2x + (5 * x + x * x)) + x(x + -3)
-10x + 2x2 = (-10 + -2x + (5x + x2)) + x(x + -3)

Combine like terms: -2x + 5x = 3x
-10x + 2x2 = (-10 + 3x + x2) + x(x + -3)

Reorder the terms:
-10x + 2x2 = -10 + 3x + x2 + x(-3 + x)
-10x + 2x2 = -10 + 3x + x2 + (-3 * x + x * x)
-10x + 2x2 = -10 + 3x + x2 + (-3x + x2)

Reorder the terms:
-10x + 2x2 = -10 + 3x + -3x + x2 + x2

Combine like terms: 3x + -3x = 0
-10x + 2x2 = -10 + 0 + x2 + x2
-10x + 2x2 = -10 + x2 + x2

Combine like terms: x2 + x2 = 2x2
-10x + 2x2 = -10 + 2x2

Add '-2x2' to each side of the equation.
-10x + 2x2 + -2x2 = -10 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-10x + 0 = -10 + 2x2 + -2x2
-10x = -10 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-10x = -10 + 0
-10x = -10

Solving
-10x = -10

Solving for variable 'x'.

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

Divide each side by '-10'.
x = 1

Simplifying
x = 1

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