What is the answer to (x-6}{4x}+1=\frac{x+3)/x ?

The answer to (x-6}{4x}+1=\frac{x+3)/x is x=18

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(x-6}{4x}+1=\frac{x+3)/x

\frac{x - 6}{4 x} + 1 = \frac{x + 3}{x}

x = 18

Solution steps

\frac{x - 6}{4 x} + 1 = \frac{x + 3}{x}

Multiply by LCM

5 x - 6 = 4 x + 12

Move

6

to the right side

5 x = 4 x + 18

Move

4 x

to the left side

x = 18

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 18

\frac{16}{x ^{2}} = \frac{50}{4}

\frac{4}{x} = \frac{5}{12 - x}

\frac{4}{x} = x

10 x = 1 + \frac{3}{x}

\frac{8}{x + 9} = \frac{5}{x - 3}

What is the answer to (x-6}{4x}+1=\frac{x+3)/x ?
The answer to (x-6}{4x}+1=\frac{x+3)/x is x=18
Solve for x: (x-6}{4x}+1=\frac{x+3)/x
The solution is x=18