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

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

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

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

x = 4

Solution steps

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

Multiply both sides by

x - 1

x + 2 = 2 (x - 1)

Expand

2 (x - 1) : 2 x - 2

x + 2 = 2 x - 2

Move

2

to the right side

x = 2 x - 4

Move

2 x

to the left side

- x = - 4

Divide both sides by

- 1

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 4

\frac{3}{x} = \frac{2}{6}

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

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

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

x - \frac{5}{4 x} = \frac{9}{4}