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

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

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

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

x = - \frac{5}{2}

Decimal Notation

x = - 2.5

Solution steps

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

Multiply by LCM

10 = 2 x + 15

Switch sides

2 x + 15 = 10

Move

15

to the right side

2 x = - 5

Divide both sides by

2

x = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{5}{2}

x, (f - g) (x) = \frac{( x ^{2} + 2 x - 1 )}{x}

6 - \frac{35}{x} + \frac{36}{x ^{2}} = 0

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

63 = \frac{3 \times ( x ^{3} - 1 )}{x - 1}

8 + \frac{6}{x} = x + 9

What is the answer to 1/x = 1/5+3/(2x) ?
The answer to 1/x = 1/5+3/(2x) is x=-5/2
Solve for x: 1/x = 1/5+3/(2x)
The solution is x=-5/2