What is the answer to (3x+1)/x = 1/x+3 ?

The answer to (3x+1)/x = 1/x+3 is x\ne 0

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(3x+1)/x = 1/x+3

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

x \neq = 0

Solution steps

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

Multiply both sides by

x

3 x + 1 = 1 + 3 x

Solve

3 x + 1 = 1 + 3 x :

True for all

x

x \neq = 0

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x \neq = 0

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

\frac{161040}{x} = 134200

- 2 x^{- 3} = 0

\frac{x ^{2} - 9}{3 - x} = 0

\frac{18}{x} = \frac{6}{10}

What is the answer to (3x+1)/x = 1/x+3 ?
The answer to (3x+1)/x = 1/x+3 is x\ne 0
Solve for x: (3x+1)/x = 1/x+3
The solution is x\ne 0