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

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

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

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

x = 4

Solution steps

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

Multiply by LCM

3 x - 2 = 2 x + 2

Move

2

to the right side

3 x = 2 x + 4

Move

2 x

to the left side

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4

\frac{2}{3 u + 7} = \frac{3}{4 u + 9}

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

\frac{12.6}{x} = \frac{9.7}{6.3}

\frac{9}{x} = \frac{3}{8}

0 = \frac{x + 3}{x - 11}

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