# How do you solve 5/7=(3x+1)/2?

Apr 17, 2018

You want to get $x$ by itself.

#### Explanation:

The main goal of this problem would be to isolate the variable $x$.
In order to do this, you'll need to do the opposite operation to both sides in the most logical order.

Therefore, you'll begin by multiplying both sides of the equation by $2$, leaving you with

$\frac{10}{7} = 3 x + 1$

Now, subtract $1$ from both sides to get

$\frac{3}{7} = 3 x$

All that's left now is to divide each side by $3$ in order to isolate the $x$ and get your final answer of

$\frac{1}{7} = x$