Question

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

• A. \( x = 1 \)
• B. \( x = 2 \)
• C. \( x = 3 \)
• D. \( x = 4 \)

Hint:

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

Answer 1

The Correct Option is B

Given: The equation is: \[ 2x + 3 = 7x - 8 \] Step 1: Rearranging the equation To solve for \( x \), we first move all the \( x \)-terms to one side and constant terms to the other side. Subtract \( 2x \) from both sides: \[ 3 = 5x - 8 \] Now, add 8 to both sides: \[ 11 = 5x \] Step 2: Solve for \( x \) Now, divide both sides by 5: \[ x = \frac{11}{5} = 2 \] Answer: The correct answer is option (2): \( x = 2 \).