Answer
$x = 30$
Work Step by Step
The angles depicted are considered same-side interior angles. If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.
$(3x - 14) + (2x - 16) = 180$
Get rid of the parentheses, paying attention to signs and operations:
$3x - 14 + 2x - 16 = 180$
Group like terms:
$(3x + 2x) + (- 14 - 16) = 180$
Combine like terms:
$5x - 30 = 180$
Add $30$ to each side of the equation:
$5x = 150$
Divide each side by $5$ to solve for $x$:
$x = 30$
