Answer
$x=-8/3$
Work Step by Step
We start by creating a common denominator for all of the fractions:
$\frac{4x}{12}-\frac{7x}{12}=\frac{8}{12}$
We now can combine the denominators on the same side of the equation:
-$\frac{3x}{12}=\frac{8}{12}$
We then multiply both sides by 12 to find:
$-3x=8$
We divide by -3 to obtain that $x=-8/3.$
We plug -8/3 in for x and confirm that our answer is, indeed, correct.
