# How do you solve 6+3(4d+8)=54?

Jul 27, 2018

$d = 2$

#### Explanation:

$6 + 3 \left(4 d + 8\right) = 54$

Subtract $\textcolor{b l u e}{6}$ from both sides:
$6 + 3 \left(4 d + 8\right) \quad \textcolor{b l u e}{- \quad 6} = 54 \quad \textcolor{b l u e}{- \quad 6}$

$3 \left(4 d + 8\right) = 48$

Divide both sides by color(blue)3: (3(4d+8))/color(blue)3 = 48/color(blue)3#

$4 d + 8 = 16$

Subtract $\textcolor{b l u e}{8}$ from both sides:
$4 d + 8 \quad \textcolor{b l u e}{- \quad 8} = 16 \quad \textcolor{b l u e}{- \quad 8}$

$4 d = 8$

Divide both sides by $\textcolor{b l u e}{4}$:
$\frac{4 d}{\textcolor{b l u e}{4}} = \frac{8}{\textcolor{b l u e}{4}}$

Therefore,
$d = 2$

Hope this helps!