What is the answer to (24)/x-(15)/(x+5)=2 ?

The answer to (24)/x-(15)/(x+5)=2 is x= 15/2 ,x=-8

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(24)/x-(15)/(x+5)=2

\frac{24}{x} - \frac{15}{x + 5} = 2

x = \frac{15}{2}, x = - 8

Decimal

x = 7.5, x = - 8

Solution steps

\frac{24}{x} - \frac{15}{x + 5} = 2

Multiply by LCM

24 (x + 5) - 15 x = 2 x (x + 5)

Solve

24 (x + 5) - 15 x = 2 x (x + 5) : x = \frac{15}{2}, x = - 8

x = \frac{15}{2}, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 5

Combine undefined points with solutions:

x = \frac{15}{2}, x = - 8

\frac{3}{5} = \frac{3}{5 n} - \frac{1}{5}

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

- \frac{9}{x ^{2} + 3 x} + \frac{x}{x + 3} = - 1

4 - \frac{8}{x + 1} = \frac{8 x}{x + 1}

\frac{12}{x} + \frac{3}{4} = \frac{3}{2}

What is the answer to (24)/x-(15)/(x+5)=2 ?
The answer to (24)/x-(15)/(x+5)=2 is x= 15/2 ,x=-8
Solve for x: (24)/x-(15)/(x+5)=2
The solution is x= 15/2 ,x=-8