What is the answer to (4x+39)/(3x)=5+2/x ?

The answer to (4x+39)/(3x)=5+2/x is x=3

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(4x+39)/(3x)=5+2/x

\frac{4 x + 39}{3 x} = 5 + \frac{2}{x}

x = 3

Solution steps

\frac{4 x + 39}{3 x} = 5 + \frac{2}{x}

Multiply by LCM

4 x + 39 = 15 x + 6

Move

39

to the right side

4 x = 15 x - 33

Move

15 x

to the left side

- 11 x = - 33

Divide both sides by

- 11

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3

- \frac{6}{c ^{2}} = - \frac{13}{3}

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

\frac{8}{3 x - 2} = \frac{3}{x + 1}

a, p = \frac{f}{a}

2 x + 3 = \frac{9 x + 2}{x ^{2}} - x - 2

What is the answer to (4x+39)/(3x)=5+2/x ?
The answer to (4x+39)/(3x)=5+2/x is x=3
Solve for x: (4x+39)/(3x)=5+2/x
The solution is x=3