Answer
$x = \frac{1}{4}$
Work Step by Step
First, we use the cross products property to eliminate the fractions:
$16(x + 2) = 36$
Use the distributive property on the left side of the equation:
$16x + 32 = 36$
Subtract $32$ from each side of the equation to move constants to the right side of the equation:
$16x = 4$
Divide both sides by $4$ to solve for $x$:
$x = \frac{4}{16}$
Simplify the fraction by dividing both the numerator and denominator by their greatest common factor:
$x = \frac{1}{4}$