What is the answer to 1/(x-1)+2= 5/(x-1) ?

The answer to 1/(x-1)+2= 5/(x-1) is x=3

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1/(x-1)+2= 5/(x-1)

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

x = 3

Solution steps

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

Multiply both sides by

x - 1

1 + 2 (x - 1) = 5

Move

1

to the right side

2 (x - 1) = 4

Divide both sides by

2

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

x, f (4 t + 2) = \frac{3}{x}

\frac{x}{x - 3} - 2 = \frac{1}{x - 3}

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

\frac{5}{x + 2} = \frac{1}{3 x - 12}

\frac{11}{3} = \frac{9}{n - 5}

What is the answer to 1/(x-1)+2= 5/(x-1) ?
The answer to 1/(x-1)+2= 5/(x-1) is x=3
Solve for x: 1/(x-1)+2= 5/(x-1)
The solution is x=3