What is the answer to 3/(x+1)= 6/(5x-1) ?

The answer to 3/(x+1)= 6/(5x-1) is x=1

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3/(x+1)= 6/(5x-1)

\frac{3}{x + 1} = \frac{6}{5 x - 1}

x = 1

Solution steps

\frac{3}{x + 1} = \frac{6}{5 x - 1}

Cross multiply

15 x - 3 = 6 x + 6

Move

3

to the right side

15 x = 6 x + 9

Move

6 x

to the left side

9 x = 9

Divide both sides by

9

x = 1

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = \frac{1}{5}

Combine undefined points with solutions:

x = 1

\frac{- 3}{x} + 2 = 7

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

\frac{15}{x + 2} - \frac{6}{x - 1} = 0

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

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

What is the answer to 3/(x+1)= 6/(5x-1) ?
The answer to 3/(x+1)= 6/(5x-1) is x=1
Solve for x: 3/(x+1)= 6/(5x-1)
The solution is x=1