Question

Solve for $x$: $3x - 5 = 7 - 2x$.

• A. 2.4
• B. 3
• C. 3.5
• D. 4

Hint:

Combine like terms to solve linear equations and verify by substitution.

Answer 1

The Correct Option is A

- 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.