What is the answer to (24)/(x-8)+4=(20)/(x-8) ?

The answer to (24)/(x-8)+4=(20)/(x-8) is x=7

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(24)/(x-8)+4=(20)/(x-8)

\frac{24}{x - 8} + 4 = \frac{20}{x - 8}

x = 7

Solution steps

\frac{24}{x - 8} + 4 = \frac{20}{x - 8}

Multiply both sides by

x - 8

24 + 4 (x - 8) = 20

Move

24

to the right side

4 (x - 8) = - 4

Divide both sides by

4

x - 8 = - 1

Move

8

to the right side

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 8

Combine undefined points with solutions:

x = 7

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

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

\frac{x ^{2} - 9 x + 20}{x ^{2} - 3 x + 4} = 0

\frac{1}{x - 2} = \frac{1}{2}

\frac{7}{x + 5} = \frac{6}{5}

What is the answer to (24)/(x-8)+4=(20)/(x-8) ?
The answer to (24)/(x-8)+4=(20)/(x-8) is x=7
Solve for x: (24)/(x-8)+4=(20)/(x-8)
The solution is x=7