What is the answer to (24)/(10+x)+1=(24)/(10-x) ?

The answer to (24)/(10+x)+1=(24)/(10-x) is x=-50,x=2

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(24)/(10+x)+1=(24)/(10-x)

\frac{24}{10 + x} + 1 = \frac{24}{10 - x}

x = - 50, x = 2

Solution steps

\frac{24}{10 + x} + 1 = \frac{24}{10 - x}

Multiply by LCM

24 (- x + 10) + (x + 10) (- x + 10) = 24 (x + 10)

Solve

24 (- x + 10) + (x + 10) (- x + 10) = 24 (x + 10) : x = - 50, x = 2

x = - 50, x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 10, x = 10

Combine undefined points with solutions:

x = - 50, x = 2

\frac{3}{y} - \frac{4}{5} = - \frac{1}{5}

- \frac{1}{5} + \frac{5}{6 x} = - \frac{1}{4 x}

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

1 + \frac{7}{x - 4} = \frac{2}{x ^{2} - 16}

4 x - \frac{4}{x ^{2}} = 0

What is the answer to (24)/(10+x)+1=(24)/(10-x) ?
The answer to (24)/(10+x)+1=(24)/(10-x) is x=-50,x=2
Solve for x: (24)/(10+x)+1=(24)/(10-x)
The solution is x=-50,x=2