Question:
Find \(x\): \(2x + 3 = 7x - 8\).
Find \(x\): \(2x + 3 = 7x - 8\).
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Fractions and decimals can represent the same value. For example, \( \frac{11}{5} = 2.2 \).
Updated On: Apr 28, 2026
- \(2.2\)
- \(11/5\)
- \(5\)
- Both (1) and (2) \bigskip
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The Correct Option is D
Solution and Explanation
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: {\color{red}Rearrange the equation.} \[ 2x + 3 = 7x - 8 \] Move variable terms to one side: \[ 2x - 7x = -8 - 3 \] \[ -5x = -11 \] Step 2: {\color{red}Solve for \(x\).} \[ x = \frac{-11}{-5} \] \[ x = \frac{11}{5} \] Step 3: {\color{red}Convert to decimal form (optional).} \[ x = 2.2 \] Thus, the solution can be written as: \[ x = 2.2 \quad \text{or} \quad \frac{11}{5} \] \bigskip
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