Solve the equation for $x$. \[ \frac{x+4}{2}=\frac{30}{16} \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type an integer or a simplified fraction.) B. The solution set is $\{x \mid x$ is a real number $\}$. C. The solution set is $\varnothing$.

Step 1 ：The given equation is a simple linear equation. We can solve it by cross multiplying and then simplifying to find the value of $x$.

Step 2 ：Cross multiply to get $16(x+4) = 2(30)$

Step 3 ：Simplify to get $16x + 64 = 60$

Step 4 ：Subtract 64 from both sides to get $16x = -4$

Step 5 ：Divide both sides by 16 to get $x = -\frac{1}{4}$

Step 6 ：The solution to the equation is $x = -\frac{1}{4}$. Therefore, the solution set is a single value.

Step 7 ：Final Answer: The solution set is \(\boxed{-\frac{1}{4}}\)