What is the answer to (x-2}{3x}+1=\frac{x+4)/x ?

The answer to (x-2}{3x}+1=\frac{x+4)/x is x=14

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(x-2}{3x}+1=\frac{x+4)/x

\frac{x - 2}{3 x} + 1 = \frac{x + 4}{x}

x = 14

Solution steps

\frac{x - 2}{3 x} + 1 = \frac{x + 4}{x}

Multiply by LCM

4 x - 2 = 3 x + 12

Move

2

to the right side

4 x = 3 x + 14

Move

3 x

to the left side

x = 14

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 14

x, y = \frac{x + 1}{x - 1}

0.58 = - \frac{1}{x} ln (1 - 0.826)

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

\frac{3 x}{x - 2} = 0

\frac{- 11}{x} = \frac{- 22}{x + 4}

What is the answer to (x-2}{3x}+1=\frac{x+4)/x ?
The answer to (x-2}{3x}+1=\frac{x+4)/x is x=14
Solve for x: (x-2}{3x}+1=\frac{x+4)/x
The solution is x=14