# How do you solve 3x=16-5x?

Mar 26, 2018

x=2

#### Explanation:

First of all, you are going to add $5 x$ to each side. This will give you a new equation of $8 x = 16$. The reason you add 5 is because you want to get rid of the -5x on the right. When you add 5 it changes to 0x. Anything times 0 equals 0. The next step is to divide both sides by 8. The reason you divide is to get x alone. When you divide 8x by 8, you get 1x. 1 times anything equals what the other thing is. For example, 1 times 4 is 4. This will give you your answer of $x = 2$

Mar 26, 2018

The solution is $x = 2$.

#### Explanation:

You can add $5 x$ to both sides of the equation, then divide both sides by $8$:

$3 x = 16 - 5 x$

$3 x \textcolor{b l u e}{+} \textcolor{b l u e}{5 x} = 16 - 5 x \textcolor{b l u e}{+} \textcolor{b l u e}{5 x}$

$3 x \textcolor{b l u e}{+} \textcolor{b l u e}{5 x} = 16 \textcolor{red}{\cancel{\textcolor{b l a c k}{\textcolor{b l a c k}{-} 5 x \textcolor{b l u e}{+} \textcolor{b l u e}{5 x}}}}$

$3 x \textcolor{b l u e}{+} \textcolor{b l u e}{5 x} = 16$

$8 x = 16$

$\textcolor{b l u e}{\frac{\textcolor{b l a c k}{8 x}}{8}} = \textcolor{b l u e}{\frac{\textcolor{b l a c k}{16}}{8}}$

$\textcolor{b l u e}{\frac{\textcolor{b l a c k}{\textcolor{red}{\cancel{\textcolor{b l a c k}{8}}} x}}{\textcolor{R e d}{\cancel{\textcolor{b l u e}{8}}}}} = \textcolor{b l u e}{\frac{\textcolor{b l a c k}{16}}{8}}$

$x = \textcolor{b l u e}{\frac{\textcolor{b l a c k}{16}}{8}}$

$x = 2$

This is the answer. Hope this helped!