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

The answer to 5+(x+5)/(x-7)=x is x=10,x=3

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

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

x = 10, x = 3

Solution steps

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

Multiply both sides by

x - 7

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

Solve

5 (x - 7) + x + 5 = x (x - 7) : x = 10, x = 3

x = 10, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 7

Combine undefined points with solutions:

x = 10, x = 3

\frac{2 π}{x} = \frac{2 π}{3.14}

1 - \frac{2}{x - 1} = \frac{x + 7}{x ^{2} - 1}

\frac{4}{a - 7} = \frac{- 2 a}{a + 3}

\frac{1}{x + 9} + \frac{18}{x ^{2} - 81} = 1

\frac{8 x ^{8} x ^{8} x ^{8} x ^{8}}{8 x ^{8}} = 8 x

What is the answer to 5+(x+5)/(x-7)=x ?
The answer to 5+(x+5)/(x-7)=x is x=10,x=3
Solve for x: 5+(x+5)/(x-7)=x
The solution is x=10,x=3