* Solve the following equation for \( x \). \( a x+2=32 \) A \( x=\frac{2 A}{a} \) \( B \quad x=\frac{a n}{30} \) C \( x=\frac{30}{a} \) D \( x=\frac{a}{34} \)
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To solve for \( x \) in the equation \( a x + 2 = 32 \), first, isolate the term containing \( x \). Subtract 2 from both sides: \( a x = 30 \). Now, divide both sides by \( a \): \( x = \frac{30}{a} \). So, the correct answer is \( C \quad x=\frac{30}{a} \). Now, here’s an interesting tidbit: Many basic algebraic concepts we use today were developed by ancient mathematicians from different cultures, including Babylonian, Egyptian, and Greek civilizations. They laid the groundwork for solving equations, which remains vital in our modern world! Speaking of modern applications, solving equations like this one is essential in various fields, including engineering, economics, and programming. Understanding how to manipulate equations allows professionals to optimize processes, determine costs, and create algorithms, making these skills invaluable in today's tech-driven job market!