To find the equation to solve for x, we need to use the fact that the sum of the angle measures is equal to 180°.
We can set up the equation as follows:
(m∠ABC) + (m∠CBD) + (m∠DBE) = 180°
Substituting the given angle measures, we have:
(x - 6) + (4x - 14) + (5x) = 180°
Now we can solve for x by combining like terms:
10x - 20 = 180°
Adding 20 to both sides:
10x = 200°
Finally, we divide both sides by 10 to solve for x:
x = 20°