What is the answer to 4=(12b+8)/(b+24) ?

The answer to 4=(12b+8)/(b+24) is b=11

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4=(12b+8)/(b+24)

4 = \frac{12 b + 8}{b + 24}

b = 11

Solution steps

4 = \frac{12 b + 8}{b + 24}

Multiply both sides by

b + 24

4 (b + 24) = 12 b + 8

Expand

4 (b + 24) : 4 b + 96

4 b + 96 = 12 b + 8

Move

96

to the right side

4 b = 12 b - 88

Move

12 b

to the left side

- 8 b = - 88

Divide both sides by

- 8

b = 11

Verify Solutions

Find undefined (singularity) points:

b = - 24

Combine undefined points with solutions:

b = 11

x, y = \frac{2}{x}

4 - \frac{1}{t} = \frac{3}{t ^{2}}

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

\frac{2}{g + 3} - \frac{1}{g + 1} = 0

\frac{x ^{2} - 5 x + 1}{x - 2} = x