What is the answer to 5/(5b+4)= 2/(b-4) ?

The answer to 5/(5b+4)= 2/(b-4) is b=-28/5

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5/(5b+4)= 2/(b-4)

\frac{5}{5 b + 4} = \frac{2}{b - 4}

b = - \frac{28}{5}

Decimal Notation

b = - 5.6

Solution steps

\frac{5}{5 b + 4} = \frac{2}{b - 4}

Cross multiply

5 b - 20 = 10 b + 8

Move

20

to the right side

5 b = 10 b + 28

Move

10 b

to the left side

- 5 b = 28

Divide both sides by

- 5

b = - \frac{28}{5}

Verify Solutions

Find undefined (singularity) points:

b = - \frac{4}{5}, b = 4

Combine undefined points with solutions:

b = - \frac{28}{5}

1.4 = \frac{1600000}{X}

\frac{x}{x + 7} = \frac{9}{8}

\frac{6.52}{2} = \frac{5.12}{x}

\frac{8 - 4}{x + 7} = \frac{2}{3}

\frac{5}{x ^{2}} = 4 + \frac{3}{x}

What is the answer to 5/(5b+4)= 2/(b-4) ?
The answer to 5/(5b+4)= 2/(b-4) is b=-28/5
Solve for b: 5/(5b+4)= 2/(b-4)
The solution is b=-28/5