Park Bush
05/02/2024 · Primary School
What is the value for x \( \frac{x}{3}-\frac{3}{4}=\frac{2 x+3}{12} \)
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Tutor-Verified Answer
Step-by-step Solution
Solve the equation \( \frac{x}{3}-\frac{3}{4}=\frac{2x+3}{12} \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(\frac{x}{3}-\frac{3}{4}=\frac{2x+3}{12}\)
- step1: Multiply both sides of the equation by LCD:
\(\left(\frac{x}{3}-\frac{3}{4}\right)\times 12=\frac{2x+3}{12}\times 12\)
- step2: Simplify the equation:
\(4x-9=2x+3\)
- step3: Move the variable to the left side:
\(4x-9-2x=3\)
- step4: Subtract the terms:
\(2x-9=3\)
- step5: Move the constant to the right side:
\(2x=3+9\)
- step6: Add the numbers:
\(2x=12\)
- step7: Divide both sides:
\(\frac{2x}{2}=\frac{12}{2}\)
- step8: Divide the numbers:
\(x=6\)
The value of \( x \) is 6.
Quick Answer
\( x=6 \)
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