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

Step 1: Understanding the Question:
We need to solve for \(x\) in a linear equation where the variable appears on both sides.
Step 2: Key Formula or Approach:
Rearrange the equation to isolate \(x\) by moving all variable terms to one side and constants to the other.
Step 3: Detailed Explanation:
Given equation:
\[ 2x + 3 = 7x - 8 \]
Subtract \(2x\) from both sides:
\[ 3 = 5x - 8 \]
Add \(8\) to both sides:
\[ 11 = 5x \]
Divide by \(5\):
\[ x = \frac{11}{5} \]
Converting the fraction to a decimal:
\[ x = 2.2 \]
Step 4: Final Answer:
Both \(11/5\) and \(2.2\) are correct representations of the solution.