What is the answer to 5+7/(x+1)=x ?

The answer to 5+7/(x+1)=x is x=6,x=-2

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5+7/(x+1)=x

5 + \frac{7}{x + 1} = x

x = 6, x = - 2

Solution steps

5 + \frac{7}{x + 1} = x

Multiply both sides by

x + 1

5 (x + 1) + 7 = x (x + 1)

Solve

5 (x + 1) + 7 = x (x + 1) : x = 6, x = - 2

x = 6, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 6, x = - 2

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

\frac{x}{x - 3} + 8 = \frac{9}{x ^{2} - 3 x}

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

8 x + \frac{x}{x - 8} = \frac{8}{x - 8}

\frac{2 z}{z + 3} = \frac{3}{z - 10} + 2