What is the answer to 3-2/(9b)= 1/(3b)-7 ?

The answer to 3-2/(9b)= 1/(3b)-7 is b= 1/18

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3-2/(9b)= 1/(3b)-7

3 - \frac{2}{9 b} = \frac{1}{3 b} - 7

b = \frac{1}{18}

Decimal Notation

b = 0.05555 \dots

Solution steps

3 - \frac{2}{9 b} = \frac{1}{3 b} - 7

Multiply by LCM

- 2 = 3 - 90 b

Switch sides

3 - 90 b = - 2

Move

3

to the right side

- 90 b = - 5

Divide both sides by

- 90

b = \frac{1}{18}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = \frac{1}{18}

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

x \frac{4}{x + 3} = \frac{6}{x + 3} + 2

F = \frac{G m ^{1} m ^{2}}{d ^{2}}

\frac{20}{5} = \frac{16}{n}

\frac{1}{a} = a

What is the answer to 3-2/(9b)= 1/(3b)-7 ?
The answer to 3-2/(9b)= 1/(3b)-7 is b= 1/18
Solve for b: 3-2/(9b)= 1/(3b)-7
The solution is b= 1/18