Find the value of \( x \) for which \( f(x)=-18 \) \( f(x)=2 x+4 \)

To find the value of \( x \) for which \( f(x) = -18 \), we set up the equation: \[ 2x + 4 = -18 \] Next, we subtract 4 from both sides: \[ 2x = -18 - 4 \] This simplifies to: \[ 2x = -22 \] Now, we divide both sides by 2: \[ x = -11 \] So, the value of \( x \) for which \( f(x) = -18 \) is \( x = -11 \). Now that we know the value, let’s have some fun exploring the role of linear functions in everyday life! Linear functions like \( f(x) = 2x + 4 \) are everywhere around us! From calculating expenses to tracking distances, they help us make predictions with just a simple equation. Think of it like planning your grocery budget—if each item costs $2, you can easily figure out how many you can buy with your total budget! When working with linear equations, a common mistake is forgetting to apply operations equally on both sides of the equation. Always remember to manipulate both sides consistently! For example, when isolating \( x \), subtract from both sides before dividing to avoid any potential miscalculations. Happy solving!