# How do you solve 13.7b-6.5=-2.3b+8.3?

May 17, 2018

To solve for the variable $b$, we have to make it alone. The first thing we do is add $\textcolor{b l u e}{6.5}$ to both sides of the equation:
$13.7 b - 6.5 \quad \textcolor{b l u e}{+ \quad 6.5} = - 2.3 b + 8.3 \quad \textcolor{b l u e}{+ \quad 6.5}$

$13.7 b = - 2.3 b + 14.8$

Now add $\textcolor{b l u e}{2.3}$ to both sides:
$13.7 b \quad \textcolor{b l u e}{+ 2.3 b} = - 2.3 b + 14.8 \quad \textcolor{b l u e}{+ 2.3 b}$

$16 b = 14.8$

Finally, divide both sides by $\textcolor{b l u e}{16}$ to get the final answer:
$\frac{16 b}{\textcolor{b l u e}{16}} = \frac{14.8}{\textcolor{b l u e}{16}}$

Therefore,
$b = 0.3$

Hope this helps!