What is the answer to 1/x-1/(x+3)= 3/10 ?

The answer to 1/x-1/(x+3)= 3/10 is x=2,x=-5

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1/x-1/(x+3)= 3/10

\frac{1}{x} - \frac{1}{x + 3} = \frac{3}{10}

x = 2, x = - 5

Solution steps

\frac{1}{x} - \frac{1}{x + 3} = \frac{3}{10}

Multiply by LCM

10 (x + 3) - 10 x = 3 x (x + 3)

Solve

10 (x + 3) - 10 x = 3 x (x + 3) : x = 2, x = - 5

x = 2, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 3

Combine undefined points with solutions:

x = 2, x = - 5

\frac{3}{x} = \frac{8}{x - 2}

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

R, \frac{n}{R} = \frac{b}{a}

\frac{x + 2}{3 x - 1} + 1 = \frac{6 - x}{x + 1}

2 x - \frac{7}{x - 6} = x

What is the answer to 1/x-1/(x+3)= 3/10 ?
The answer to 1/x-1/(x+3)= 3/10 is x=2,x=-5
Solve for x: 1/x-1/(x+3)= 3/10
The solution is x=2,x=-5