\( 12x = 60 \), so \( x = 5 \).

["# Solving ( 12x = 60 ): A Step-by-Step Guide with Answer ( x = 5 )", "Understanding how to solve simple linear equations is a fundamental skill in algebra with widespread applications in science, engineering, economics, and everyday problem solving. In this article, we’ll walk through solving the equation ( 12x = 60 ) step by step, revealing why the solution is ( x = 5 ). Whether you’re a student learning algebra or someone brushing up on math basics, this tutorial will clarify how to isolate variables and verify solutions effectively.", "## What is the Equation ( 12x = 60 )?", "The equation ( 12x = 60 ) represents a linear relationship where ( x ) is multiplied by 12 and set equal to 60. Solving for ( x ) means determining what value of ( x ) makes the equation true. In practical terms, this could represent calculations like determining quantities, scaling factors, or proportional relationships.", "## Step-by-Step Solution", "### Step 1: Start with the Equation\nBegin with the given equation:\n[\n12x = 60\n]", "### Step 2: Isolate the Variable\nTo solve for ( x ), divide both sides of the equation by 12:\n[\n\frac{12x}{12} = \frac{60}{12}\n]", "### Step 3: Simplify Both Sides\nThe 12 cancels on the left side:\n[\nx = \frac{60}{12}\n]\nThen simplify the fraction:\n[\nx = 5\n]", "## Why Is ( x = 5 ) the Correct Solution?", "Substituting ( x = 5 ) back into the original equation confirms the result:\n[\n12(5) = 60\n]\n[\n60 = 60\n]\nThis equality verifies that ( x = 5 ) satisfies the equation, making it a valid and exact solution.", "## How to Verify the Solution", "Verification is a crucial practice in algebra. Plugging back the solution into the original equation checks both accuracy and understanding. As shown above, substituting ( x = 5 ) makes both sides equal, reinforcing confidence in the result.", "## Real-World Applications", "Equations like ( 12x = 60 ) appear in many real-life contexts:\n- Budgeting: If each item costs $12 and you spend a total of $60, you bought ( 60 \div 12 = 5 ) items.\n- Physics: If an object moves at a constant speed of 12 m/s and covers 60 meters, the time taken is ( t = 60 \div 12 = 5 ) seconds.\n- Scaling Recipes: Adjusting a recipe designed for 12 servings to just 5 requires scaling ingredients accordingly.", "## Tips for Mastering Linear Equations", "- Always isolate the variable on one side by performing the inverse operation.\n- Simplify fractions whenever possible to avoid rounding errors.\n- Practice substitution by plugging your solution back into the original equation.\n- Use visual tools like algebra tiles or balance scales to understand equivalence.", "## Conclusion", "Solving ( 12x = 60 ) is a gateway to mastering algebra’s core strategies. The clear solution ( x = 5 ) exemplifies how division undoes multiplication, restoring balance. By following systematic steps and verifying results, anyone can confidently solve similar equations—empowering problem-solving skills across disciplines.", "Next time you encounter an equation, remember the method used here: isolate, divide, simplify, and verify. With practice, you’ll quickly see how these principles unlock a world of mathematical understanding.", "---", "Keywords: solve ( 12x = 60 ), step-by-step algebra, linear equations, x equals 5, algebra tutorial, mathematical solution, verify solution, real-world math, beginner algebra."]