How do you solve 6x + 14= - 77- 7x?

Jun 5, 2018

$x = - 7$

Explanation:

$6 x + 14 = - 77 - 7 x$

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

First, add $\textcolor{b l u e}{7 x}$ to both sides of the equation:
$6 x + 14 \quad \textcolor{b l u e}{+ \quad 7 x} = - 77 - 7 x \quad \textcolor{b l u e}{+ \quad 7 x}$

$13 x + 14 = - 77$

Now subtract $\textcolor{b l u e}{14}$ from both sides:
$13 x + 14 \quad \textcolor{b l u e}{- \quad 14} = - 77 \quad \textcolor{b l u e}{- \quad 14}$

$13 x = - 91$

Therefore,
$x = - 7$

Hope this helps!