Answer
$x=-17$
Work Step by Step
The variable appears in the denominator, so we know we should use the Cross Products Property. Recall, cross multiplying refers to when we multiply the numerator of the first fraction by the denominator of the second fraction and set that equal to the numerator of the second fraction times the denominator of the first fraction. We first cross multiply to get that $8x+16=6x-18$. We first subtract by 6x on both sides to get that $2x+16=-18$. We now cancel out addition by subtracting by 16 on both sides. We then divide by 2 on both sides to get that $x=-17$.
