What is the answer to 1/(x-5)+3/8 = 6/7 ?

The answer to 1/(x-5)+3/8 = 6/7 is x= 191/27

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1/(x-5)+3/8 = 6/7

\frac{1}{x - 5} + \frac{3}{8} = \frac{6}{7}

x = \frac{191}{27}

Decimal Notation

x = 7.07407 \dots

Solution steps

\frac{1}{x - 5} + \frac{3}{8} = \frac{6}{7}

Multiply by LCM

21 x - 49 = 48 x - 240

Move

49

to the right side

21 x = 48 x - 191

Move

48 x

to the left side

- 27 x = - 191

Divide both sides by

- 27

x = \frac{191}{27}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{191}{27}

\frac{1440300}{( x + 2256 )} = 12

y, \frac{3}{2 x y} = \frac{1}{x ^{2}}

y, x - \frac{1}{x} = y - \frac{1}{y}

y, \frac{x}{( y + x )} = \frac{1}{5}

\frac{1}{x} + \frac{1}{x - 15} = \frac{1}{18}

What is the answer to 1/(x-5)+3/8 = 6/7 ?
The answer to 1/(x-5)+3/8 = 6/7 is x= 191/27
Solve for x: 1/(x-5)+3/8 = 6/7
The solution is x= 191/27