What is the answer to 5/x =(10)/(3x)+4 ?

The answer to 5/x =(10)/(3x)+4 is x= 5/12

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5/x =(10)/(3x)+4

\frac{5}{x} = \frac{10}{3 x} + 4

x = \frac{5}{12}

Decimal Notation

x = 0.41666 \dots

Solution steps

\frac{5}{x} = \frac{10}{3 x} + 4

Multiply by LCM

15 = 10 + 12 x

Switch sides

10 + 12 x = 15

Move

10

to the right side

12 x = 5

Divide both sides by

12

x = \frac{5}{12}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{12}

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

2 x^{- 2} - 3 x^{- 1} - 2 = 0

x = \frac{1}{x}

\frac{1}{4 - x} + \frac{3}{6 + x} = 0

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

What is the answer to 5/x =(10)/(3x)+4 ?
The answer to 5/x =(10)/(3x)+4 is x= 5/12
Solve for x: 5/x =(10)/(3x)+4
The solution is x= 5/12