What is the answer to (x-6}{3x}+8=\frac{x+5)/x ?

The answer to (x-6}{3x}+8=\frac{x+5)/x is x= 21/22

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(x-6}{3x}+8=\frac{x+5)/x

\frac{x - 6}{3 x} + 8 = \frac{x + 5}{x}

x = \frac{21}{22}

Solution steps

\frac{x - 6}{3 x} + 8 = \frac{x + 5}{x}

Multiply by LCM

25 x - 6 = 3 x + 15

Move

6

to the right side

25 x = 3 x + 21

Move

3 x

to the left side

22 x = 21

Divide both sides by

22

x = \frac{21}{22}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{21}{22}

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

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

\frac{15}{4 x - 3} = 7

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

200 = \frac{40 + 20 x}{1 + 0.05 x}

What is the answer to (x-6}{3x}+8=\frac{x+5)/x ?
The answer to (x-6}{3x}+8=\frac{x+5)/x is x= 21/22
Solve for x: (x-6}{3x}+8=\frac{x+5)/x
The solution is x= 21/22