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

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

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

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

x = 3

Solution steps

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

Multiply both sides by

x - 1

1 + 3 (x - 1) = 7

Move

1

to the right side

3 (x - 1) = 6

Divide both sides by

3

x - 1 = 2

Move

1

to the right side

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 3

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

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

\frac{21}{x} = \frac{14}{4}

w, n = \frac{g}{w}

r, S = \frac{a}{1 - r}

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