What is the answer to 3/(x-2)+1/5 =7 ?

The answer to 3/(x-2)+1/5 =7 is x= 83/34

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3/(x-2)+1/5 =7

\frac{3}{x - 2} + \frac{1}{5} = 7

x = \frac{83}{34}

Decimal Notation

x = 2.44117 \dots

Solution steps

\frac{3}{x - 2} + \frac{1}{5} = 7

Multiply by LCM

x + 13 = 35 x - 70

Move

13

to the right side

x = 35 x - 83

Move

35 x

to the left side

- 34 x = - 83

Divide both sides by

- 34

x = \frac{83}{34}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{83}{34}

4 x^{- 2} - 23 x^{- 1} - 6 = 0

\frac{7}{14 - d} = \frac{3}{18 + d}

\frac{2}{3} = \frac{12}{x}

\frac{2.6}{7.8} = \frac{3}{x}

\frac{5}{2 x + 3} - \frac{1}{x - 6} = 0