What is the answer to 4= 7/5-2/x ?

The answer to 4= 7/5-2/x is x=-10/13

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4= 7/5-2/x

4 = \frac{7}{5} - \frac{2}{x}

x = - \frac{10}{13}

Decimal Notation

x = - 0.76923 \dots

Solution steps

4 = \frac{7}{5} - \frac{2}{x}

Multiply by LCM

20 x = 7 x - 10

Move

7 x

to the left side

13 x = - 10

Divide both sides by

13

x = - \frac{10}{13}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{10}{13}

\frac{b + 8}{b - 7} = \frac{3}{4}

\frac{10}{x - 3} = \frac{9}{x - 5}

v - \frac{16}{v} = 6

\frac{2}{x} = \frac{1}{2}

u, \frac{( x - n )}{u} - x = 0