What is the answer to 3/(3b+5)= 2/(b-5) ?

The answer to 3/(3b+5)= 2/(b-5) is b=-25/3

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3/(3b+5)= 2/(b-5)

\frac{3}{3 b + 5} = \frac{2}{b - 5}

b = - \frac{25}{3}

Decimal Notation

b = - 8.33333 \dots

Solution steps

\frac{3}{3 b + 5} = \frac{2}{b - 5}

Cross multiply

3 b - 15 = 6 b + 10

Move

15

to the right side

3 b = 6 b + 25

Move

6 b

to the left side

- 3 b = 25

Divide both sides by

- 3

b = - \frac{25}{3}

Verify Solutions

Find undefined (singularity) points:

b = - \frac{5}{3}, b = 5

Combine undefined points with solutions:

b = - \frac{25}{3}

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

\frac{24}{x} = 0

\frac{x ^{2} - 9}{x + 3} = x^{2} - 15

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

\frac{7 x}{8 - 3 x} = 15

What is the answer to 3/(3b+5)= 2/(b-5) ?
The answer to 3/(3b+5)= 2/(b-5) is b=-25/3
Solve for b: 3/(3b+5)= 2/(b-5)
The solution is b=-25/3