Garza Zimmerman
01/26/2024 · High School
20. What is the value of \( x \) in \( \frac{5 x}{6}-\frac{1}{2}=\frac{1}{3} ? \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Solve the equation \( \frac{5x}{6}-\frac{1}{2}=\frac{1}{3} \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(\frac{5x}{6}-\frac{1}{2}=\frac{1}{3}\)
- step1: Move the constant to the right side:
\(\frac{5x}{6}=\frac{1}{3}+\frac{1}{2}\)
- step2: Add the terms:
\(\frac{5x}{6}=\frac{5}{6}\)
- step3: Multiply both sides of the equation by \(6:\)
\(\frac{5x}{6}\times 6=\frac{5}{6}\times 6\)
- step4: Multiply the terms:
\(5x=5\)
- step5: Divide both sides:
\(\frac{5x}{5}=\frac{5}{5}\)
- step6: Divide the numbers:
\(x=1\)
The value of \( x \) in the equation \( \frac{5x}{6}-\frac{1}{2}=\frac{1}{3} \) is \( x=1 \).
Quick Answer
\( x=1 \)
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