What is the answer to (x-5}{4x}+1=\frac{x+2)/x ?

The answer to (x-5}{4x}+1=\frac{x+2)/x is x=13

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(x-5}{4x}+1=\frac{x+2)/x

\frac{x - 5}{4 x} + 1 = \frac{x + 2}{x}

x = 13

Solution steps

\frac{x - 5}{4 x} + 1 = \frac{x + 2}{x}

Multiply by LCM

5 x - 5 = 4 x + 8

Move

5

to the right side

5 x = 4 x + 13

Move

4 x

to the left side

x = 13

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 13

x, u = y + \frac{k}{x}

\frac{x}{x - 3} = \frac{6}{x - 3}

\frac{x}{x - x} = \frac{x}{0}

x, y = \frac{6 x - 5}{x + 3}

\frac{15 x + 2}{5 x + 6} = \frac{1}{3}

What is the answer to (x-5}{4x}+1=\frac{x+2)/x ?
The answer to (x-5}{4x}+1=\frac{x+2)/x is x=13
Solve for x: (x-5}{4x}+1=\frac{x+2)/x
The solution is x=13