Question

Find the value of \( x \) in the equation \( 5x - 7 = 3x + 9 \).

• A. \( x = 6 \)
• B. \( x = 8 \)
• C. \( x = 5 \)
• D. \( x = 4 \)

Hint:

Remember: Rearranging terms and isolating the variable is key to solving linear equations.

Answer 1

The Correct Option is B

Step 1: Rearranging the equation The given equation is: \[ 5x - 7 = 3x + 9 \] To solve for \( x \), first subtract \( 3x \) from both sides: \[ 2x - 7 = 9 \] Next, add 7 to both sides: \[ 2x = 16 \] Step 2: Solve for \( x \) Now, divide both sides by 2: \[ x = \frac{16}{2} = 8 \] Answer: The correct answer is option (2): \( x = 8 \).