Properties of Isosceles Trapezoids

$ABCD$ is an isosceles trapezoid where $AB$ and $CD$ are parallel. We also know that $m\angle CAB = 3x + 10,$ $m\angle ABD = 2y,$ $m\angle BDC = x + y,$ and $m\angle DCA = 6x - 2y,$ all measured in degrees. Find the value of $x.$