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Question 3, 8.3.11,
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points
Points:
Solve.
\[
\frac{x}{2}-\frac{5}{6}=\frac{1}{2}
\]
The solution is
(Simplify your answer. Type an integer or simplified fraction.)
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Answer
Final Answer: The solution to the equation is \(\boxed{\frac{8}{3}}\)
Step 1 ：The given equation is \(\frac{x}{2}-\frac{5}{6}=\frac{1}{2}\)
Step 2 ：First, add \(\frac{5}{6}\) to both sides of the equation to get rid of the -\(\frac{5}{6}\) on the left side. This gives us \(\frac{x}{2}=\frac{1}{2}+\frac{5}{6}\)
Step 3 ：Simplify the right side of the equation to get \(\frac{x}{2}=\frac{4}{3}\)
Step 4 ：Then, multiply both sides of the equation by 2 to solve for x. This gives us \(x=2*\frac{4}{3}\)
Step 5 ：Simplify the right side of the equation to get \(x=\frac{8}{3}\)
Step 6 ：Final Answer: The solution to the equation is \(\boxed{\frac{8}{3}}\)
