What is the answer to x-(x+7)/(x-10)= 5/(x-10) ?

The answer to x-(x+7)/(x-10)= 5/(x-10) is x=12,x=-1

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x-(x+7)/(x-10)= 5/(x-10)

x - \frac{x + 7}{x - 10} = \frac{5}{x - 10}

x = 12, x = - 1

Solution steps

x - \frac{x + 7}{x - 10} = \frac{5}{x - 10}

Multiply both sides by

x - 10

x (x - 10) - (x + 7) = 5

Solve

x (x - 10) - (x + 7) = 5 : x = 12, x = - 1

x = 12, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 10

Combine undefined points with solutions:

x = 12, x = - 1

\frac{3}{2} = \frac{3}{2 x} - \frac{6}{5 x}

\frac{3}{x ^{2}} - \frac{7}{x} + 2 = 0

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

- \frac{2}{x + 7} - 2 = - \frac{x}{x + 7}

\frac{1}{14} = \frac{8}{x - 3}

What is the answer to x-(x+7)/(x-10)= 5/(x-10) ?
The answer to x-(x+7)/(x-10)= 5/(x-10) is x=12,x=-1
Solve for x: x-(x+7)/(x-10)= 5/(x-10)
The solution is x=12,x=-1