What is the answer to 3/x-7/6 =1 ?

The answer to 3/x-7/6 =1 is x= 18/13

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3/x-7/6 =1

\frac{3}{x} - \frac{7}{6} = 1

x = \frac{18}{13}

Decimal Notation

x = 1.38461 \dots

Solution steps

\frac{3}{x} - \frac{7}{6} = 1

Multiply by LCM

18 - 7 x = 6 x

Move

18

to the right side

- 7 x = 6 x - 18

Move

6 x

to the left side

- 13 x = - 18

Divide both sides by

- 13

x = \frac{18}{13}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{18}{13}

\frac{- 16}{x ^{4}} + 15 + x^{4} = 0

2 x - \frac{8}{x} = 0

\frac{( x - 3 ) ( x + 4 )}{x - 3} = 0

\frac{1}{x} = - 3 x - 5

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