What is the answer to (x+1)/x+1/2 =4 ?

The answer to (x+1)/x+1/2 =4 is x= 2/5

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(x+1)/x+1/2 =4

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

x = \frac{2}{5}

Solution steps

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

Multiply by LCM

3 x + 2 = 8 x

Move

2

to the right side

3 x = 8 x - 2

Move

8 x

to the left side

- 5 x = - 2

Divide both sides by

- 5

x = \frac{2}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2}{5}

\frac{x}{x + 7} = \frac{6}{5}

\frac{6}{8} = \frac{n - 6}{n - 3}

a, L = \frac{3 a}{a - m}

0.000004 x - \frac{400}{x ^{2}} = 0

\frac{x + 7}{6 x} + 1 = \frac{x + 5}{x}