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

The answer to 1/(x-1)-3=-(7x)/(x-1) is x=-1

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

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

x = - 1

Solution steps

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

Multiply both sides by

x - 1

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

Expand

1 - 3 (x - 1) : - 3 x + 4

- 3 x + 4 = - 7 x

Move

4

to the right side

- 3 x = - 7 x - 4

Move

7 x

to the left side

4 x = - 4

Divide both sides by

4

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = - 1

1 - \frac{8 x}{x - 6} = \frac{1}{x - 6}

\frac{x - 13}{x} = 5 - \frac{10 ( 5 x + 3 )}{x ^{2}}

\frac{2 x}{x + 3} = - \frac{6}{x + 3} - 2

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

\frac{2 x}{3} - \frac{1}{x} + \frac{5}{6} = 0

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