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# What is 3/2(3b-12)=b?

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Meave60 Share
Jun 23, 2018

$b = \frac{36}{7}$

#### Explanation:

Solve:

$\frac{3}{2} \left(3 b - 12\right) = b$

Multiply both sides by $2$.

${\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}}}^{1} \times \frac{3}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}}} ^ 1 \left(3 b - 12\right) = b \times 2$

Simplify.

$3 \left(3 b - 12\right) = 2 b$

Expand.

$9 b - 36 = 2 b$

Add $36$ to both sides.

$9 b = 2 b + 36$

Subtract $2 b$ from both sides.

$9 b - 2 b = 36$

$7 b = 36$

Divide both sides by $7$.

$b = \frac{36}{7}$

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