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 $\varnothing$.
Answer
Final Answer: The solution set is \(\boxed{-\frac{1}{4}}\)
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 \(\boxed{-\frac{1}{4}}\)
