# If 3x-2+5x=2, what is the value of 3x?

Jun 5, 2018

$3 x = \frac{3}{2}$

#### Explanation:

$3 x - 2 + 5 x = 2$

Before we find the value of $3 x$, let's first find the value of $x$.

To do so, first combine $3 x + 5 x$:
$8 x - 2 = 2$

Add $\textcolor{b l u e}{2}$ to both sides of the equation:
$8 x - 2 \quad \textcolor{b l u e}{+ \quad 2} = 2 \quad \textcolor{b l u e}{+ \quad 2}$

$8 x = 4$

Now divide both sides by $\textcolor{b l u e}{8}$:
$\frac{8 x}{\textcolor{b l u e}{8}} = \frac{4}{\textcolor{b l u e}{8}}$

$x = \frac{1}{2}$

Since we want $3 x$, let's multiply that by $\textcolor{b l u e}{3}$:
$\frac{1}{2} \textcolor{b l u e}{\cdot 3} = \frac{3}{2}$

Hope this helps!