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: Distribute terms on both sides of the equation
Given equation:\[4(x - 2) = 3(x + 5)\]Distribute the constants:\[4x - 8 = 3x + 15\]Step 2: Isolate the variable \( x \) Subtract \( 3x \) from both sides:\[4x - 3x - 8 = 15\]Simplify:\[x - 8 = 15\]Add 8 to both sides:\[x = 23\]Answer: The solution for \( x \) is \( 23 \).