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

The answer to (x+2}{2x}+\frac{x+2)/x =2 is x=6

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(x+2}{2x}+\frac{x+2)/x =2

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

x = 6

Solution steps

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

Multiply by LCM

3 x + 6 = 4 x

Move

6

to the right side

3 x = 4 x - 6

Move

4 x

to the left side

- x = - 6

Divide both sides by

- 1

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6

0 = \frac{2}{x + 2}

\frac{1}{2 x} + \frac{x}{3} = 7

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

\frac{3}{2 x} - \frac{9}{2} = 6 x

x^{- 2} + 5 x^{- 1} - 6 = 0

What is the answer to (x+2}{2x}+\frac{x+2)/x =2 ?
The answer to (x+2}{2x}+\frac{x+2)/x =2 is x=6
Solve for x: (x+2}{2x}+\frac{x+2)/x =2
The solution is x=6