We want to find the value of x. Let's take a look at the given diagram. We can see that the labeled angles are vertical angles.
We know that vertical angles are congruent. This means that their measures are equal. From the given diagram, we know that the measure of one angle is given by the expression 12x-3 and the measure of the other angle is 105.
12x - 3 = 105
Let's solve this equation for x using the Properties of Equality.