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

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

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

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

x = 2

Solution steps

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

Multiply both sides by

x - 1

1 + 2 x = 5 (x - 1)

Expand

5 (x - 1) : 5 x - 5

1 + 2 x = 5 x - 5

Move

1

to the right side

2 x = 5 x - 6

Move

5 x

to the left side

- 3 x = - 6

Divide both sides by

- 3

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 2

\frac{8 - 4 x}{x - 2} = x

\frac{2 k}{k - 1} = \frac{21 - k}{2 k}

49 = \frac{( 3 x + 8 ) ^{2}}{x ^{2}}

w, x = \frac{5 y + 3 w}{2 w}

\frac{1}{x} = 4.25

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