5.) \( 32=12 x+8 \)

To solve the equation \( 32=12x+8 \), start by isolating the term with \( x \). Subtract 8 from both sides, yielding \( 24=12x \). Next, divide both sides by 12 to find \( x \). Thus, \( x=2 \). Always remember to check your work by plugging \( x \) back into the original equation! Did you know that linear equations like this one are foundational in algebra and can model real-world situations? For example, they can represent budgeting scenarios where you need to solve for the unknown amount spent. It's applicable in everyday life!