# How do you solve 7x - 5 = 6x + 6?

May 12, 2018

$x = 11$

#### Explanation:

$7 x - 5 = 6 x + 6$

To find the variable $x$, we have to make it by itself.

To do so, first add $\textcolor{b l u e}{5}$ to both sides of the equation:
$7 x - 5 \quad \textcolor{b l u e}{+ \quad 5} = 6 x + 6 \quad \textcolor{b l u e}{+ \quad 5}$

$7 x = 6 x + 11$

Now subtract $\textcolor{b l u e}{6 x}$ from both sides of the equation:
$7 x \quad \textcolor{b l u e}{- \quad 6 x} = 6 x + 11 \quad \textcolor{b l u e}{- \quad 6 x}$

Therefore,
$x = 11$

Hope this helps!