What is the answer to (10)/x = 1/(2x)+38 ?

The answer to (10)/x = 1/(2x)+38 is x= 1/4

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(10)/x = 1/(2x)+38

\frac{10}{x} = \frac{1}{2 x} + 38

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

\frac{10}{x} = \frac{1}{2 x} + 38

Multiply by LCM

20 = 1 + 76 x

Switch sides

1 + 76 x = 20

Move

1

to the right side

76 x = 19

Divide both sides by

76

x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}

\frac{39}{x} = - \frac{3}{29}

\frac{3}{5} = \frac{13}{x}

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

(t) = \frac{5 t}{t ^{2} + 1}

\frac{280}{q + 2} = 20 + 2.5 q

What is the answer to (10)/x = 1/(2x)+38 ?
The answer to (10)/x = 1/(2x)+38 is x= 1/4
Solve for x: (10)/x = 1/(2x)+38
The solution is x= 1/4