What is the answer to (6x-19)/(6x+1)=5 ?

The answer to (6x-19)/(6x+1)=5 is x=-1

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(6x-19)/(6x+1)=5

\frac{6 x - 19}{6 x + 1} = 5

x = - 1

Solution steps

\frac{6 x - 19}{6 x + 1} = 5

Multiply both sides by

6 x + 1

6 x - 19 = 5 (6 x + 1)

Expand

5 (6 x + 1) : 30 x + 5

6 x - 19 = 30 x + 5

Move

19

to the right side

6 x = 30 x + 24

Move

30 x

to the left side

- 24 x = 24

Divide both sides by

- 24

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{6}

Combine undefined points with solutions:

x = - 1

\frac{2 x - 3}{4 x - 5} = 6

\frac{x - 3}{x - 7} = \frac{5}{6}

\frac{2 x + 1}{3} = \frac{4}{3 x - 2}

\frac{x - 5}{x + 8} = \frac{3}{8}

0.2 = \frac{x ^{2}}{25 - x}