Answer
$AB = 7$
Work Step by Step
The diagram is that of a parallelogram.
Opposite sides of a parallelogram are congruent. We see that $\overline{AB}$ and $\overline{DC}$ are opposite sides.
Let's set $AB$ and $DC$ equal to one another so we can solve for $x$:
$AB = DC$
Let's plug in what we know:
$x + 2 = 2x - 3$
Subtract $2$ from each side of the equation to isolate constants on one side:
$x = 2x - 5$
Subtract $2x$ from each side of the equation to isolate the variable on one side of the equation:
$-x = -5$
Divide both sides by $-1$ to solve for $x$:
$x = 5$
Now that we have the value for $x$, we can plug it into the expression for $AB$:
$AB = x + 2$
Let's plug in what we know:
$AB = 5 + 2$
Add to solve:
$AB = 7$
