Question

Find the value of \( x \) in the equation \( 4(x - 2) = 3(x + 5) \).

• A. \( x = 23 \)
• B. \( x = 3 \)
• C. \( x = 7 \)
• D. \( x = -7 \)

Hint:

Remember: To solve linear equations, first expand, then collect like terms on one side to isolate the variable.

Answer 1

The Correct Option is C

Step 1: Expand both sides of the equation
We are given: \[ 4(x - 2) = 3(x + 5) \] First, expand both sides: \[ 4x - 8 = 3x + 15 \] Step 2: Rearrange the equation Now, subtract \( 3x \) from both sides: \[ 4x - 3x - 8 = 15 \] \[ x - 8 = 15 \] Next, add 8 to both sides: \[ x = 23 \] Answer: Therefore, the value of \( x \) is \( 7 \). So, the correct answer is option (3).