What is the answer to 5/(2x)+3= 6/x-2 ?

The answer to 5/(2x)+3= 6/x-2 is x= 7/10

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5/(2x)+3= 6/x-2

\frac{5}{2 x} + 3 = \frac{6}{x} - 2

x = \frac{7}{10}

Solution steps

\frac{5}{2 x} + 3 = \frac{6}{x} - 2

Multiply by LCM

5 = 12 - 10 x

Switch sides

12 - 10 x = 5

Move

12

to the right side

- 10 x = - 7

Divide both sides by

- 10

x = \frac{7}{10}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{7}{10}

\frac{4}{x - 2} = x + 1

\frac{x - 1}{x ^{2} - 1} = 3

y, \frac{x}{y} + 9 = n

(- 3)^{- 5} = \frac{1}{x}

\frac{x + 1}{2 x - 3} = \frac{5}{6}

What is the answer to 5/(2x)+3= 6/x-2 ?
The answer to 5/(2x)+3= 6/x-2 is x= 7/10
Solve for x: 5/(2x)+3= 6/x-2
The solution is x= 7/10