# How do you solve x-(12-x)=38#?

Feb 21, 2016

$x = 25$

#### Explanation:

$x - 12 + x = 38$
$x + x = 38 + 12$
$2 x = 50$
$x = 25$

Feb 21, 2016

$x = 25$

#### Explanation:

We start with $x - \left(12 - x\right) = 38$

Now, I like to begin by simplifying everything I can, and then combining like terms to reduce it down to its most concise form. In this case, I'm going to get rid of the parentheses.

So, we have $- \left(12 - x\right)$. The $-$ in front of the parentheses is actually a $- 1$, and we will distribute the $- 1$ into $\left(12 - x\right)$. It is now $\left(\left(12 \cdot - 1\right) - \left(x \cdot - 1\right)\right)$, or $- 12 - - x$, which is just $- 12 + x$.

The equation is now $x - 12 + x = 38$. We can add $12$ to both sides and combine the $x$s until we have $2 x = 50$.

Divide by $2$ on both sides as we have $x = 25$!