What is the answer to 1/5+1/x = 1/(3.5) ?

The answer to 1/5+1/x = 1/(3.5) is x=11.66666…

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1/5+1/x = 1/(3.5)

\frac{1}{5} + \frac{1}{x} = \frac{1}{3.5}

x = 11.66666 \dots

Solution steps

\frac{1}{5} + \frac{1}{x} = \frac{1}{3.5}

Multiply by LCM

\frac{17.5}{5} x + 17.5 = \frac{17.5}{3.5} x

Move

17.5

to the right side

\frac{17.5}{5} x = 5 x - 17.5

Move

5 x

to the left side

- 1.5 x = - 17.5

Divide both sides by

- 1.5

x = 11.66666 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 11.66666 \dots

\frac{2}{x ^{2} + 5 x + 6} = \frac{4}{x + 2}

\frac{x - 2}{x + 3} = \frac{x - 4}{x + 5}

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

\frac{x}{x + 9} + 1 = - \frac{1}{x + 9}

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

What is the answer to 1/5+1/x = 1/(3.5) ?
The answer to 1/5+1/x = 1/(3.5) is x=11.66666…
Solve for x: 1/5+1/x = 1/(3.5)
The solution is x=11.66666…