Question

Find \(x\): \(4(x - 2) = 3(x + 5)\).

• A. \(23\)
• B. \(17\)
• C. \(13\)
• D. \(7\) \bigskip

Hint:

When solving linear equations, always \textbf{expand brackets first}, then collect like terms and isolate the variable.

Answer 1

The Correct Option is A

Concept: To solve linear equations, expand the brackets and collect like terms on one side. A linear equation generally has the form: \[ ax + b = cx + d \] The goal is to isolate the variable \(x\). Step 1: {\color{red}Expand both sides of the equation.} \[ 4(x-2) = 3(x+5) \] \[ 4x - 8 = 3x + 15 \] Step 2: {\color{red}Move the variable terms to one side.} \[ 4x - 3x - 8 = 15 \] \[ x - 8 = 15 \] Step 3: {\color{red}Isolate \(x\).} \[ x = 15 + 8 \] \[ x = 23 \] Thus, the value of \(x\) is: \[ x = 23 \] \bigskip