What is the answer to (2x}{x+9}=\frac{2x-9)/x ?

The answer to (2x}{x+9}=\frac{2x-9)/x is x=9

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(2x}{x+9}=\frac{2x-9)/x

\frac{2 x}{x + 9} = \frac{2 x - 9}{x}

x = 9

Solution steps

\frac{2 x}{x + 9} = \frac{2 x - 9}{x}

Cross multiply

2 x^{2} = 2 x^{2} + 9 x - 81

Subtract

2 x^{2} + 9 x

from both sides

2 x^{2} - (2 x^{2} + 9 x) = 2 x^{2} + 9 x - 81 - (2 x^{2} + 9 x)

Simplify

- 9 x = - 81

Divide both sides by

- 9

x = 9

Verify Solutions

Find undefined (singularity) points:

x = - 9, x = 0

Combine undefined points with solutions:

x = 9

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

\frac{6 x + 24}{x + 4} = 5

\frac{1}{2 x - 1} = \frac{4}{8 x - 4}

\frac{20 - x}{x} = x

\frac{x + 6}{x - 2} = \frac{5}{9}

What is the answer to (2x}{x+9}=\frac{2x-9)/x ?
The answer to (2x}{x+9}=\frac{2x-9)/x is x=9
Solve for x: (2x}{x+9}=\frac{2x-9)/x
The solution is x=9