Answer
$x = \frac{5}{3}$
Work Step by Step
Parallelograms have opposite sides that are congruent. In order for $ABCD$ to be a parallelogram, we must have $AD$ and $BC$ equal to one another.
$AD = BC$
Let's plug in what we are given in the diagram:
$3x + 1 = 6x - 4$
Subtract $1$ from each side of the equation to isolate variables to one side of the equation:
$3x = 6x - 5$
Subtract $6x$ from each side of the equation to isolate the variable to the left side of the equation:
$-3x = -5$
Divide each side of the equation by $-3$ to solve for $x$:
$x = \frac{5}{3}$
