What is the answer to 4/3 =(2+x)/x ?

The answer to 4/3 =(2+x)/x is x=6

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4/3 =(2+x)/x

\frac{4}{3} = \frac{2 + x}{x}

x = 6

Solution steps

\frac{4}{3} = \frac{2 + x}{x}

Cross multiply

4 x = 6 + 3 x

Move

3 x

to the left side

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6

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

20 a^{- 2} + 21 a^{- 1} - 5 = 0

\frac{1}{8} = \frac{1}{1 - 2 c}

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

\frac{7.5}{R} = 0.075