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solve for x 3x 5 7 2x
Question:
Solve for $x$: $3x - 5 = 7 - 2x$.
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Combine like terms to solve linear equations and verify by substitution.
CAT - 2013
CAT
Updated On:
Jul 31, 2025
2.4
3
3.5
4
Show Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
-
Step 1: Solve.
$3x - 5 = 7 - 2x \implies 3x + 2x = 7 + 5 \implies 5x = 12 \implies x = \frac{12}{5} = 2.4$.
-
Step 2: Verify.
Left: $3 \cdot 2.4 - 5 = 7.2 - 5 = 2.2$. Right: $7 - 2 \cdot 2.4 = 7 - 4.8 = 2.2$. Matches.
-
Step 3: Conclusion.
Option (1) 2.4 is correct.
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