Questions: (x+7)/8 = 1/4 + (x-9)/2 What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. The solution set is . (Simplify your answer. Type an integer or a fraction.) B. The solution set is x x is a real number . C. The solution set is ∅.

(x+7)/8 = 1/4 + (x-9)/2 What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. The solution set is . (Simplify your answer. Type an integer or a fraction.) B. The solution set is x x is a real number . C. The solution set is ∅.
Transcript text: \[ \frac{x+7}{8}=\frac{1}{4}+\frac{x-9}{2} \] What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. The solution set is $\square$ \}. (Simplify your answer. Type an integer or a fraction.) B. The solution set is $\{x \mid x$ is a real number \}. C. The solution set is $\varnothing$.
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Solution

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Solution Steps

Step 1: Simplify the equation

Given the linear equation $0.625x - 2.25 = 0.25x + 0.875$, we bring all terms involving x to one side to get $0.375x = 3.125$.

Step 2: Solve for x

We simplify the equation to get $x = \frac{3.125}{0.375}$.

Final Answer:

The solution is $x = 8.33$.

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