What is the answer to 6/(6b+5)= 2/(b-5) ?

The answer to 6/(6b+5)= 2/(b-5) is b=-20/3

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6/(6b+5)= 2/(b-5)

\frac{6}{6 b + 5} = \frac{2}{b - 5}

b = - \frac{20}{3}

Decimal Notation

b = - 6.66666 \dots

Solution steps

\frac{6}{6 b + 5} = \frac{2}{b - 5}

Cross multiply

6 b - 30 = 12 b + 10

Move

30

to the right side

6 b = 12 b + 40

Move

12 b

to the left side

- 6 b = 40

Divide both sides by

- 6

b = - \frac{20}{3}

Verify Solutions

Find undefined (singularity) points:

b = - \frac{5}{6}, b = 5

Combine undefined points with solutions:

b = - \frac{20}{3}

\frac{- 5}{9} = \frac{16}{x}

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

1 - \frac{6}{x ^{3}} = 0

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

\frac{x + 6}{3 - 2 x} = - 1

What is the answer to 6/(6b+5)= 2/(b-5) ?
The answer to 6/(6b+5)= 2/(b-5) is b=-20/3
Solve for b: 6/(6b+5)= 2/(b-5)
The solution is b=-20/3