What is the answer to 3/(5x+1)= 6/10 ?

The answer to 3/(5x+1)= 6/10 is x= 4/5

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3/(5x+1)= 6/10

\frac{3}{5 x + 1} = \frac{6}{10}

x = \frac{4}{5}

Solution steps

\frac{3}{5 x + 1} = \frac{6}{10}

Cross multiply

30 = (5 x + 1) \cdot 6

Switch sides

(5 x + 1) \cdot 6 = 30

Divide both sides by

6

5 x + 1 = 5

Move

1

to the right side

5 x = 4

Divide both sides by

5

x = \frac{4}{5}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{5}

Combine undefined points with solutions:

x = \frac{4}{5}

n, \frac{m + 3}{n} = p

\frac{5}{x} = \frac{4}{x + 3}

\frac{6}{x} + \frac{2}{5} = 8

\frac{4}{x} = x + 3

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