# How do you solve 3x - 5 = 1?

Nov 27, 2015

Perform operations to each side of the equation to isolate $x$ and find that
$x = 2$

#### Explanation:

Performing operations like addition and division to each side of an equation maintains the validity of the equality. We use these in a particular order to isolate $x$.

First, we use addition to isolate the term containing $x$.

$3 x - 5 = 1$

$\implies 3 x - 5 + 5 = 1 + 5$

$\implies 3 x = 6$

Now, we use division to remove the coefficient from the $x$ term.

$\implies \frac{3 x}{3} = \frac{6}{3}$

$\implies x = 2$