Simplifying: \( 3x + 6 = 78 \), so \( 3x = 72 \), and \( x = 24 \).

["How to Solve ( 3x + 6 = 78 ) – A Simple Step-by-Step Guide", "When faced with an equation like ( 3x + 6 = 78 ), solving for ( x ) feels simpler than you might expect. Breaking it down step by step not only helps you find the correct answer but also builds a strong foundation in algebra. In this guide, we’ll walk through how to simplify and solve ( 3x + 6 = 78 ), showing that with clear steps, even complex equations become manageable.", "---", "### What Is the Equation?", "Start with the equation:\n[ 3x + 6 = 78 ]", "This means “three times a number ( x ), plus 6, equals 78.” Our goal is to isolate ( x ) to determine its value.", "---", "### Step 1: Subtract 6 from Both Sides\nTo eliminate the constant term, subtract 6 from both sides:\n[ 3x + 6 - 6 = 78 - 6 ]\n[ 3x = 72 ]\nThis step simplifies the left side and clears the constant on the right, making the next step straightforward.", "---", "### Step 2: Divide Both Sides by 3\nNow solve for ( x ) by dividing both sides by 3:\n[ \frac{3x}{3} = \frac{72}{3} ]\n[ x = 24 ]\nThis final step isolates ( x ), revealing its value clearly.", "---", "### Why This Works: The Logic Behind the Steps", "- Subtracting 6 maintains balance — whatever you do to one side, do to the other.\n- Dividing by 3 reverses the multiplication, leaving ( x ) alone.\n- Each operation follows the principle of equality, a core rule in solving equations.", "---", "### Final Answer\n[ x = 24 ]", "To verify: Plug 24 back into the original equation:\n[ 3(24) + 6 = 72 + 6 = 78 ]\nIt checks perfectly!", "---", "### Simplify Your Algebra: Tips for Success", "- Isolate the variable term first by undoing constants.\n- Use inverse operations — addition undoes subtraction, division undoes multiplication.\n- Check your solution to confirm correctness.", "---", "### Conclusion", "Solving ( 3x + 6 = 78 ) is a classic example of applying basic algebraic principles step by step. By subtracting 6 and then dividing by 3, we find ( x = 24 ) efficiently and accurately. Understanding these foundational steps empowers you to tackle more complex equations with confidence. Whether you’re a student, teacher, or self-learner, mastering such simplifications ensures lasting success in math.", "---", "Keywords: solve ( 3x + 6 = 78 ), step-by-step algebra, how to solve linear equations, simplify ( 3x + 6 = 78 ), algebra tutorial, step-by-step math, solve for x, simplifying algebraic equations", "Meta Description: Master solving ( 3x + 6 = 78 ) with our clear, step-by-step guide. Learn how to subtract 6 and then divide by 3 to find ( x = 24 )—easy and reliable algebra made simple."]