x(3-x)=x(5-x)

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


Simplifying
x(3 + -1x) = x(5 + -1x)
(3 * x + -1x * x) = x(5 + -1x)
(3x + -1x2) = x(5 + -1x)
3x + -1x2 = (5 * x + -1x * x)
3x + -1x2 = (5x + -1x2)

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

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

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

Solving
3x = 5x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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