What is the answer to 7/3 =(2x+5)/x ?

The answer to 7/3 =(2x+5)/x is x=15

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7/3 =(2x+5)/x

\frac{7}{3} = \frac{2 x + 5}{x}

x = 15

Solution steps

\frac{7}{3} = \frac{2 x + 5}{x}

Cross multiply

7 x = 6 x + 15

Move

6 x

to the left side

x = 15

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 15

x - \frac{12}{x} = 1

\frac{1}{x} - \frac{1}{x ^{2}} = 0

\frac{3}{2 k} = 5

1 = \frac{8 x ^{2}}{x ^{4} + 16}

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