What is the answer to 1/x+1/(x+2)= 12/5 ?

The answer to 1/x+1/(x+2)= 12/5 is x= 1/2 ,x=-5/3

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1/x+1/(x+2)= 12/5

\frac{1}{x} + \frac{1}{x + 2} = \frac{12}{5}

x = \frac{1}{2}, x = - \frac{5}{3}

Decimal

x = 0.5, x = - 1.66666 \dots

Solution steps

\frac{1}{x} + \frac{1}{x + 2} = \frac{12}{5}

Multiply by LCM

5 (x + 2) + 5 x = 12 x (x + 2)

Solve

5 (x + 2) + 5 x = 12 x (x + 2) : x = \frac{1}{2}, x = - \frac{5}{3}

x = \frac{1}{2}, x = - \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

x = \frac{1}{2}, x = - \frac{5}{3}

\frac{x + 8}{2 x ^{2} - 18} - \frac{2}{x - 3} = 1

- 3 - \frac{8}{x - 6} = - \frac{7}{x - 6}

x, \frac{d y}{d x} = - \frac{y}{x}

y, x^{3} = \frac{2 x - y}{x + 3 y}

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

What is the answer to 1/x+1/(x+2)= 12/5 ?
The answer to 1/x+1/(x+2)= 12/5 is x= 1/2 ,x=-5/3
Solve for x: 1/x+1/(x+2)= 12/5
The solution is x= 1/2 ,x=-5/3