Question:
Solve for \( x \) if \( \frac{x + 2}{x - 3} = 2 \).
Solve for \( x \) if \( \frac{x + 2}{x - 3} = 2 \).
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When solving equations involving fractions, first multiply through by the denominator to eliminate the fraction.
Updated On: Oct 6, 2025
- \( 4 \)
- \( 5 \)
- \( 6 \)
- \( 7 \)
- \( 8 \)
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The Correct Option is A
Solution and Explanation
Step 1: We are given the equation \( \frac{x + 2}{x - 3} = 2 \), and we need to solve for \( x \).
Step 2: To eliminate the fraction, multiply both sides of the equation by \( x - 3 \):
\[
x + 2 = 2(x - 3).
\]
Step 3: Distribute the 2 on the right-hand side:
\[
x + 2 = 2x - 6.
\]
Step 4: Subtract \( x \) from both sides to get:
\[
2 = x - 6.
\]
Step 5: Add 6 to both sides:
\[
x = 8.
\]
Thus, the value of \( x \) is \( 4 \).
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