Solve the equation for x in terms of c.
2/3(cx+1/2)-1/4=5/2

Answer:
Step-by-step explanation:
The answer you have chosen is not correct. Let's walk through the simplification process, shall we?
Begin by adding over the 1/4, after you find the common denominator, that is. 5/2 with a denominator of 4 is 10/4:
[tex]\frac{2}{3}(cx+\frac{1}{2})=\frac{11}{4}[/tex] and then multiply both sides by the reciprocal of 2/3:
[tex]cx+\frac{1}{2}=\frac{33}{8}[/tex] then subtract the 1/2 in the form of 4/8 (common denominator and all...) to get
[tex]cx=\frac{29}{8}[/tex] and finally divide both sides by c to get
[tex]x=\frac{29}{8c}[/tex] That's choice C.