What is the answer to 7-(x+3)/(x-1)=x ?

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

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7-(x+3)/(x-1)=x

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

x = 5, x = 2

Solution steps

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

Multiply both sides by

x - 1

7 (x - 1) - (x + 3) = x (x - 1)

Solve

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

x = 5, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 5, x = 2

\frac{m}{m + 5} = \frac{50}{m ^{2} - 25} + 6

\frac{2}{x - 6} + 7 = \frac{8 x}{x - 6}

\frac{1}{x ^{2}} + \frac{1}{x} - 12 = 0

\frac{10 x - 1 + 6}{12 x} = 10

\frac{1}{x - 4} + 2 = \frac{4}{x ^{2} - 4 x}

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