# How do you solve 3x - 5 = 2x + 6?

Apr 11, 2016

$x = 11$

#### Explanation:

In order to calculate the value of $x$, we need to move all of the $x$ values to one side and the integers to the other by essentially performing the opposite operation to the sign in front of each value. For example if we had:

$x - 3 = 5$
We need to add 3 to the other side of the equation.
$x = 5 + 3$

Let's now use this technique to solve for $x$ in your equation:
$3 x - 5 = 2 x + 6$
$3 x - 5 - 2 x = 6$
$x - 5 = 6$
$x = 6 + 5$
Therefore, $x = 11$