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

The answer to 2/(5x)+(x+1)/x =2 is x= 7/5

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

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

x = \frac{7}{5}

Decimal

x = 1.4

Solution steps

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

Multiply by LCM

5 x + 7 = 10 x

Move

7

to the right side

5 x = 10 x - 7

Move

10 x

to the left side

- 5 x = - 7

Divide both sides by

- 5

x = \frac{7}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{7}{5}

\frac{4}{x + 8} = \frac{6}{x}

x - \frac{7}{x + 9} = \frac{3 x}{x + 9}

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

48 = \frac{48}{0.55 + d} + d

3 + \frac{5 - 4 x}{4 x} + \frac{1}{2} = 0

What is the answer to 2/(5x)+(x+1)/x =2 ?
The answer to 2/(5x)+(x+1)/x =2 is x= 7/5
Solve for x: 2/(5x)+(x+1)/x =2
The solution is x= 7/5