What is the answer to 6/x-3= 7/5 ?

The answer to 6/x-3= 7/5 is x= 15/11

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6/x-3= 7/5

\frac{6}{x} - 3 = \frac{7}{5}

x = \frac{15}{11}

Decimal Notation

x = 1.36363 \dots

Solution steps

\frac{6}{x} - 3 = \frac{7}{5}

Multiply by LCM

30 - 15 x = 7 x

Move

30

to the right side

- 15 x = 7 x - 30

Move

7 x

to the left side

- 22 x = - 30

Divide both sides by

- 22

x = \frac{15}{11}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{15}{11}

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

\frac{5 x}{x - 5} - 1 = \frac{1}{x - 5}

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

x + \frac{7}{x} = - 8

\frac{1 - 2 y}{3 - y} + y = \frac{1}{y + 2}