Answer: 22/3
Step-by-step explanation:
So, the first step is to add 9/2 to both sides. We cant do that unless there is a common denominator between -8/3 and 9/2. I will leave the 1/4 alone because we will have to divide that later. When you divide a fraction, you multiply by the reciprocal, which doesnt require a change in denominator. That is my reason for not changing the 1/4.
The common denominator of the two would be 6.
[tex]-\frac{16}{6} =\frac{1}{4}x-\frac{27}{6}[/tex]
Add the 27/6 to both sides
[tex]\frac{11}{6}=\frac{1}{4}x[/tex]
Divide the 1/4 to both sides
[tex]x=\frac{11}{6}*\frac{4}{1} =\frac{44}{6}= \frac{22}{3}[/tex]
