Question

Find the value of \( x \) in the equation \( 2x + 3 = 7x - 8 \).

• A. \( x = 2.2 \)
• B. \( x = 2.5 \)
• C. \( x = 3.2 \)
• D. \( x = 3.5 \)

Hint:

Remember: When solving linear equations, always move terms with the variable to one side and constants to the other side before simplifying.

Answer 1

The Correct Option is A

Step 1: Isolate \( x \) terms

To consolidate the \( x \) terms, subtract \( 2x \) from both sides of the equation.

\( 2x + 3 - 2x = 7x - 8 - 2x \)

This operation results in:

\( 3 = 5x - 8 \)

Step 2: Isolate the constant term

To group the numerical values, add 8 to both sides of the equation.

\( 3 + 8 = 5x - 8 + 8 \)

The equation now simplifies to:

\( 11 = 5x \)

Step 3: Solve for \( x \)

To determine the value of \( x \), divide both sides by 5.

\( \frac{11}{5} = x \)

Therefore, \( x = \frac{11}{5} \), equivalent to 2.2.