Question:
If \( \frac{2}{3}x - 5 = \frac{1}{3}x + 7 \), what is the value of \( x \)?
If \( \frac{2}{3}x - 5 = \frac{1}{3}x + 7 \), what is the value of \( x \)?
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When solving equations with fractions, isolate terms carefully and multiply to eliminate denominators for easier calculations.
Updated On: Oct 4, 2025
- 12
- 24
- 36
- 42
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The Correct Option is C
Solution and Explanation
Subtract \( \frac{1}{3}x \) from both sides:
\[
\frac{2}{3}x - \frac{1}{3}x - 5 = 7
\Rightarrow
\frac{1}{3}x - 5 = 7. \] Add 5 to both sides to isolate the term with \( x \): \[ \frac{1}{3}x = 12. \] Multiply both sides by 3 to solve for \( x \): \[ x = 36. \]
\Rightarrow
\frac{1}{3}x - 5 = 7. \] Add 5 to both sides to isolate the term with \( x \): \[ \frac{1}{3}x = 12. \] Multiply both sides by 3 to solve for \( x \): \[ x = 36. \]
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