Question

Find \(x\): \(2x + 3 = 7x - 8\).

• A. \(2.2\)
• B. \(11/5\)
• C. \(5\)
• D. Both (1) and (2)

Hint:

Fractions and decimals can represent the same value. For example, \( \frac{11}{5} = 2.2 \).

Answer 1

The Correct Option is D

Concept: A linear equation can be solved by rearranging terms so that the variable appears on one side and constants on the other. :contentReference[oaicite:1]{index=1}

Step 1: Rearrange the equation. \[ 2x + 3 = 7x - 8 \] Move variable terms to one side: \[ 2x - 7x = -8 - 3 \] \[ -5x = -11 \]

Step 2: Solve for \(x\). \[ x = \frac{-11}{-5} \] \[ x = \frac{11}{5} \]

Step 3: Convert to decimal form (optional). \[ x = 2.2 \] Thus, the solution can be written as: \[ x = 2.2 \quad \text{or} \quad \frac{11}{5} \]