What is the answer to 1/(x+2)+(24)/(x+3)=13 ?

The answer to 1/(x+2)+(24)/(x+3)=13 is x=-1,x=-27/13

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1/(x+2)+(24)/(x+3)=13

\frac{1}{x + 2} + \frac{24}{x + 3} = 13

x = - 1, x = - \frac{27}{13}

Decimal Notation

x = - 1, x = - 2.07692 \dots

Solution steps

\frac{1}{x + 2} + \frac{24}{x + 3} = 13

Multiply by LCM

x + 3 + 24 (x + 2) = 13 (x + 2) (x + 3)

Solve

x + 3 + 24 (x + 2) = 13 (x + 2) (x + 3) : x = - 1, x = - \frac{27}{13}

x = - 1, x = - \frac{27}{13}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = - 3

Combine undefined points with solutions:

x = - 1, x = - \frac{27}{13}

\frac{2}{3 x} = \frac{1}{9}

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

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

\frac{2}{x} + \frac{5}{3} = \frac{7}{x}

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

What is the answer to 1/(x+2)+(24)/(x+3)=13 ?
The answer to 1/(x+2)+(24)/(x+3)=13 is x=-1,x=-27/13
Solve for x: 1/(x+2)+(24)/(x+3)=13
The solution is x=-1,x=-27/13