Using the Vertical Angle Theorem 4x + 7 is equal to 5(x - 4).
Solve for x.
4x + 7 = 5(x - 4)
4x + 7 = 5x - 20 <-- Distribute the 5
4x = 5x - 13 <-- Subtract 7 from each side
-x = -13 <-- Subtract 5x from each side
x = 13 <-- Divide both sides by -1
So, x is equal to 13.