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

The answer to 1/(x-1)+1=-(7x)/(x-1) is x=0

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

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

x = 0

Solution steps

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

Multiply both sides by

x - 1

x = - 7 x

Move

7 x

to the left side

8 x = 0

Divide both sides by

8

x = 0

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 0

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

\frac{9 x}{x - 1} - 1 = \frac{9}{x ^{2} - x}

\frac{x}{x + 2} = \frac{10}{15}

1 - \frac{2 x - 3}{x + 5} = \frac{x - 2}{10}

t, v = \frac{d}{t}

What is the answer to 1/(x-1)+1=-(7x)/(x-1) ?
The answer to 1/(x-1)+1=-(7x)/(x-1) is x=0
Solve for x: 1/(x-1)+1=-(7x)/(x-1)
The solution is x=0