What is the answer to (2x}{5-x}=\frac{15-2x)/x ?

The answer to (2x}{5-x}=\frac{15-2x)/x is x=3

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(2x}{5-x}=\frac{15-2x)/x

\frac{2 x}{5 - x} = \frac{15 - 2 x}{x}

x = 3

Solution steps

\frac{2 x}{5 - x} = \frac{15 - 2 x}{x}

Cross multiply

2 x^{2} = 75 - 25 x + 2 x^{2}

Subtract

- 25 x + 2 x^{2}

from both sides

2 x^{2} - (- 25 x + 2 x^{2}) = 75 - 25 x + 2 x^{2} - (- 25 x + 2 x^{2})

Simplify

25 x = 75

Divide both sides by

25

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 5, x = 0

Combine undefined points with solutions:

x = 3

\frac{x}{x - 4} - \frac{2 x}{x + 4} = 1

\frac{1}{4} + \frac{3}{x + 7} = 1

\frac{x}{x + 1} = 1

\frac{5}{2 x + 6} = \frac{x + 1}{x + 3}

r, V = \frac{12 r}{( r + r )}

What is the answer to (2x}{5-x}=\frac{15-2x)/x ?
The answer to (2x}{5-x}=\frac{15-2x)/x is x=3
Solve for x: (2x}{5-x}=\frac{15-2x)/x
The solution is x=3