Question

Solve for \( x \) in the equation \( 3x + 5 = 2x + 7 \).

• A. \( x = 2 \)
• B. \( x = -2 \)
• C. \( x = 0 \)
• D. \( x = 1 \)

Hint:

To solve linear equations, collect like terms and isolate the variable on one side.

Answer 1

The Correct Option is A

Step 1: Rearrange the equation We are given the equation: \[ 3x + 5 = 2x + 7 \] First, subtract \( 2x \) from both sides: \[ 3x - 2x + 5 = 7 \] \[ x + 5 = 7 \] Step 2: Solve for \( x \) Now, subtract 5 from both sides: \[ x = 7 - 5 \] \[ x = 2 \] Answer: Therefore, the solution to the equation is \( x = 2 \). So, the correct answer is option (1).