What is the answer to x-(3x+5)/(x-10)=5 ?

The answer to x-(3x+5)/(x-10)=5 is x=15,x=3

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x-(3x+5)/(x-10)=5

x - \frac{3 x + 5}{x - 10} = 5

x = 15, x = 3

Solution steps

x - \frac{3 x + 5}{x - 10} = 5

Multiply both sides by

x - 10

x (x - 10) - (3 x + 5) = 5 (x - 10)

Solve

x (x - 10) - (3 x + 5) = 5 (x - 10) : x = 15, x = 3

x = 15, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 10

Combine undefined points with solutions:

x = 15, x = 3

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

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

\frac{3}{x ^{2}} - \frac{44}{x} = 15

\frac{5}{2 x - 2} = \frac{15}{x ^{2} - 1}

\frac{11}{x - 2} = \frac{11}{2}

What is the answer to x-(3x+5)/(x-10)=5 ?
The answer to x-(3x+5)/(x-10)=5 is x=15,x=3
Solve for x: x-(3x+5)/(x-10)=5
The solution is x=15,x=3