What is the answer to 1+(4x+2)/(2x)= 5/x ?

The answer to 1+(4x+2)/(2x)= 5/x is x= 4/3

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1+(4x+2)/(2x)= 5/x

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

x = \frac{4}{3}

Solution steps

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

Simplify

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

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

Multiply both sides by

x

3 x + 1 = 5

Move

1

to the right side

3 x = 4

Divide both sides by

3

x = \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{4}{3}

0.5 = \frac{1}{x}

M, t = \frac{b}{4 - M ^{3}}

0 = \frac{1}{x ^{2}}

- 1 - 2 a = \frac{4 d}{r}

\frac{- 2}{x} = 1

What is the answer to 1+(4x+2)/(2x)= 5/x ?
The answer to 1+(4x+2)/(2x)= 5/x is x= 4/3
Solve for x: 1+(4x+2)/(2x)= 5/x
The solution is x= 4/3