# How do you solve 2abs(3-x)+10=5?

Apr 3, 2015

The answer is: $x \in \left\{\right\}$

If there is only one absolute value operator, leave it alone at a side of the equation first. That makes easier to solve them.

$2 \left\mid 3 - x \right\mid = - 5$

$\left\mid 3 - x \right\mid = - \frac{5}{2}$

Now we can see that there is no such value of $x$ to solve this equation since the absolute value operator returns only non-negative.

The result is: $x \in \left\{\right\}$