What is the answer to 3/(3b+7)= 2/(b-7) ?

The answer to 3/(3b+7)= 2/(b-7) is b=-35/3

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3/(3b+7)= 2/(b-7)

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

b = - \frac{35}{3}

Decimal

b = - 11.66666 \dots

Solution steps

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

Cross multiply

3 b - 21 = 6 b + 14

Move

21

to the right side

3 b = 6 b + 35

Move

6 b

to the left side

- 3 b = 35

Divide both sides by

- 3

b = - \frac{35}{3}

Verify Solutions

Find undefined (singularity) points:

b = - \frac{7}{3}, b = 7

Combine undefined points with solutions:

b = - \frac{35}{3}

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

\frac{3}{x + 4} = \frac{9}{x - 2}

\frac{( x + 5 ) !}{( x + 3 ) !} = 156

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

0.01 = \frac{2.8 x}{0.4 x ^{2} + 1.3}

What is the answer to 3/(3b+7)= 2/(b-7) ?
The answer to 3/(3b+7)= 2/(b-7) is b=-35/3
Solve for b: 3/(3b+7)= 2/(b-7)
The solution is b=-35/3