What is the answer to (x+3)/(x-1)=2 ?

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

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(x+3)/(x-1)=2

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

x = 5

Solution steps

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

Multiply both sides by

x - 1

x + 3 = 2 (x - 1)

Expand

2 (x - 1) : 2 x - 2

x + 3 = 2 x - 2

Move

3

to the right side

x = 2 x - 5

Move

2 x

to the left side

- x = - 5

Divide both sides by

- 1

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 5

56 x - 15 = \frac{56}{x}

y, x = \frac{y + 1}{y - 3}

y, x = \frac{y + 1}{y - 1}

y, x = \frac{2 + y}{3 y - 2}

\frac{4}{x} + \frac{4}{x + 6} = 1