(5+x)*x=x*(x+3)

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Solution for (5+x)*x=x*(x+3) equation:


Simplifying
(5 + x) * x = x(x + 3)

Reorder the terms for easier multiplication:
x(5 + x) = x(x + 3)
(5 * x + x * x) = x(x + 3)
(5x + x2) = x(x + 3)

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

Add '-1x2' to each side of the equation.
5x + x2 + -1x2 = 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5x + 0 = 3x + x2 + -1x2
5x = 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5x = 3x + 0
5x = 3x

Solving
5x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5x + -3x = 3x + -3x

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

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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