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

The answer to 1/(x-1)+7= x/(x-1) is No Solution

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

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

No Solution

Solution steps

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

Multiply both sides by

x - 1

1 + 7 (x - 1) = x

Expand

1 + 7 (x - 1) : 7 x - 6

7 x - 6 = x

Move

6

to the right side

7 x = x + 6

Move

x

to the left side

6 x = 6

Divide both sides by

6

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 1

Since the equation is undefined for:

1

No Solution

x + \frac{5}{x} = - 6

\frac{1}{2 x} - \frac{4}{x} = \frac{5}{2}

\frac{6}{3 x} + \frac{5}{4} = \frac{3}{x}

3 x^{2} - 3 x^{- 4} = 0

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

What is the answer to 1/(x-1)+7= x/(x-1) ?
The answer to 1/(x-1)+7= x/(x-1) is No Solution
Solve for x: 1/(x-1)+7= x/(x-1)
The solution is No Solution