What is the answer to (x-6}{5x}+1=\frac{x+2)/x ?

The answer to (x-6}{5x}+1=\frac{x+2)/x is x=16

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(x-6}{5x}+1=\frac{x+2)/x

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

x = 16

Solution steps

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

Multiply by LCM

6 x - 6 = 5 x + 10

Move

6

to the right side

6 x = 5 x + 16

Move

5 x

to the left side

x = 16

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 16

\frac{9 x + 37400}{x + 8000} = 5

\frac{30}{x} = \frac{40}{x - 2}

1.3 (1 + \frac{x - 75}{x + 75}) = 1

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

x, y = 6 z + 3 \frac{b}{x}

What is the answer to (x-6}{5x}+1=\frac{x+2)/x ?
The answer to (x-6}{5x}+1=\frac{x+2)/x is x=16
Solve for x: (x-6}{5x}+1=\frac{x+2)/x
The solution is x=16