Solving for \( x \), we get \( 3x = 48 \) and \( x = 16 \).

["How to Solve for ( x ) in the Equation ( 3x = 48 )", "Solving equations is a fundamental skill in algebra, essential for students and math enthusiasts alike. One of the most common types of equations you’ll encounter is a simple linear equation like ( 3x = 48 ). In this article, we’ll walk through the step-by-step process of solving for ( x ), explaining the logic behind each move and why it works. By the end, you’ll understand not just the answer ( x = 16 ), but how to solve similar problems with confidence.", "### What Does ( 3x = 48 ) Mean?", "The equation ( 3x = 48 ) expresses that three times an unknown number ( x ) equals 48. Our goal is to isolate ( x ) so we can find its exact value.", "### Step-by-Step Solution", "#### Step 1: Understand the Principle of Equality\nTo solve for ( x ), we use the balance method: whatever operation we apply to one side must also be applied to the other to keep the equation true.", "#### Step 2: Divide Both Sides by 3\nSince ( x ) is multiplied by 3, we undo multiplication by dividing both sides by 3:\n[\n\frac{3x}{3} = \frac{48}{3}\n]", "#### Step 3: Simplify\nThe left side simplifies to just ( x ), and the right side becomes:\n[\nx = 16\n]", "---", "### Verifying the Solution", "It’s always a good practice to check your answer by substituting ( x = 16 ) back into the original equation:\n[\n3x = 3(16) = 48\n]\nSince both sides match, we confirm ( x = 16 ) is correct.", "---", "### Why This Method Works", "This method relies on inverse operations and the fundamental property of equality. Multiplication by 3 is reversed by division, allowing us to isolate ( x ) cleanly. Mastering this process builds a strong foundation for solving more complex equations involving variables on both sides or coefficients other than 1 or 3.", "---", "### Common Applications", "Understanding how to solve ( 3x = 48 ) helps in real-world scenarios—whether calculating prices, measuring materials, or planning schedules—where proportional relationships rely on linear equations.", "---", "### Summary", "- The equation ( 3x = 48 ) means three times ( x ) equals 48.\n- The solution is found by dividing both sides by 3, yielding ( x = 16 ).\n- Checking the solution confirms correctness.\n- This algebraic technique applies broadly across math problems.", "Mastering simple equations like ( 3x = 48 ) empowers you to tackle increasingly complex challenges with clarity and confidence. Keep practicing—algebraic thinking opens the door to powerful problem-solving skills!", "---", "Keywords: solve for x, equation solving, 3x = 48, algebraic methods, linear equations, step-by-step solution, verify answer, common algebra problems."]