What is the answer to (3x)/(x-5)=5-5/(x-5) ?

The answer to (3x)/(x-5)=5-5/(x-5) is x=15

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(3x)/(x-5)=5-5/(x-5)

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

x = 15

Solution steps

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

Multiply both sides by

x - 5

3 x = 5 (x - 5) - 5

Expand

5 (x - 5) - 5 : 5 x - 30

3 x = 5 x - 30

Move

5 x

to the left side

- 2 x = - 30

Divide both sides by

- 2

x = 15

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = 15

\frac{7}{x + 7} = \frac{8}{x - 4}

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

\frac{( \frac{2 π}{x} )}{4} = 3

\frac{40}{y} = \frac{8}{5}

\frac{2 ^{2} - 8 x}{1 - x} = 5

What is the answer to (3x)/(x-5)=5-5/(x-5) ?
The answer to (3x)/(x-5)=5-5/(x-5) is x=15
Solve for x: (3x)/(x-5)=5-5/(x-5)
The solution is x=15