# How do you solve 5x+12=x-4?

Mar 13, 2016

$x = - 4$

#### Explanation:

The trick to solving a simple equation as this one is, "isolation". Try to "isolate" the variable, x on one side and the numbers on the other side. Let's see how you can do this.
$5 x + 12 = x - 4$ Now why don't we subtract 12 on both sides
$5 x + \cancel{12} - \cancel{\textcolor{red}{12}} = x - 4 - \textcolor{red}{12}$
What we have is now:
$5 x = x - 16$ Well now let's bring $x$ to the left side, we can do this by subtracting $x$ on both sides:
5x - color(blue)(x)= cancel(x)-16 - cancel(color(blue)(x)
$4 x = - 16$ we are not done we need to eliminate the $4$
Well let's divide both sides by 4:
$\cancel{4} x \cdot \textcolor{m a \ge n t a}{\frac{1}{\cancel{4}}} = - 16 \cdot \textcolor{m a \ge n t a}{\frac{1}{4}}$
And finally we have isolated $x$, so $x$ is:
$x = - 4$

Hope it helps. Follow this basic recipe an you will be able to solve any equation of this kind... Good Luck!