What is the answer to x-(3x+2)/(x-5)= 7/(x-5) ?

The answer to x-(3x+2)/(x-5)= 7/(x-5) is x=9,x=-1

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x-(3x+2)/(x-5)= 7/(x-5)

x - \frac{3 x + 2}{x - 5} = \frac{7}{x - 5}

x = 9, x = - 1

Solution steps

x - \frac{3 x + 2}{x - 5} = \frac{7}{x - 5}

Multiply both sides by

x - 5

x (x - 5) - (3 x + 2) = 7

Solve

x (x - 5) - (3 x + 2) = 7 : x = 9, x = - 1

x = 9, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = 9, x = - 1

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

\frac{3 x - 26}{7} = - \frac{5}{x}

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

f, f^{- 1} (x) = \frac{- 2 x + 2}{x + 7}

\frac{x - 7}{2 x - 9} = \frac{4}{3}

What is the answer to x-(3x+2)/(x-5)= 7/(x-5) ?
The answer to x-(3x+2)/(x-5)= 7/(x-5) is x=9,x=-1
Solve for x: x-(3x+2)/(x-5)= 7/(x-5)
The solution is x=9,x=-1