Finding x in Supplementary Angles

In the figure below, two lines intersect, forming angles labeled as follows: angle 1, angle 2, angle 3, and angle 4. It is known that angle 1 is supplementary to angle 2, and angle 3 is equal to angle 4. If the measure of angle 1 is represented by the expression $4x + 10$ degrees, and the measure of angle 2 is $6x - 20$ degrees, what is the value of $x$?

Recall that supplementary angles add up to $180$ degrees.