What is the answer to 1+4/(x-1)=(2x)/(x-1) ?

The answer to 1+4/(x-1)=(2x)/(x-1) is x=3

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1+4/(x-1)=(2x)/(x-1)

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

x = 3

Solution steps

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

Multiply both sides by

x - 1

x + 3 = 2 x

Move

3

to the right side

x = 2 x - 3

Move

2 x

to the left side

- x = - 3

Divide both sides by

- 1

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 3

\frac{24}{y} = 8

\frac{x}{x - 9} - 4 = - \frac{3}{x - 9}

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

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

n \cdot \frac{1}{θ} = 0

What is the answer to 1+4/(x-1)=(2x)/(x-1) ?
The answer to 1+4/(x-1)=(2x)/(x-1) is x=3
Solve for x: 1+4/(x-1)=(2x)/(x-1)
The solution is x=3