Subtract 6: \( 3x = 120 \)

["# How to Solve Subtract 6: Solving the Equation ( 3x = 120 ) Step by Step", "Solving linear equations is a fundamental skill in algebra, and one common type students encounter is equations of the form Subtract 6 when isolating the variable. Take the equation ( 3x = 120 )—while the phrase “Subtract 6” may suggest a simple adjustment, understanding how this relates to solving linear equations helps build strong foundational skills. This article explains how to solve ( 3x = 120 ), clarifies common misconceptions, and provides helpful strategies for mastering such problems.", "---", "## Understanding the Equation: Solving ( 3x = 120 )", "The equation ( 3x = 120 ) means that 3 times some number ( x ) equals 120. To isolate ( x ), we must reverse the multiplication by 3—this involves subtracting to reposition terms. While the phrase “Subtract 6” might seem misleading here, the process centers on undoing operations efficiently.", "---", "## Step-by-Step Solution", "### Step 1: Start with the original equation\n[\n3x = 120\n]", "### Step 2: Use subtraction to isolate the variable (if needed, but note: subtraction is not applied directly to both sides here—instead, division is key)\nBecause ( x ) is multiplied by 3, divide both sides by 3:\n[\n\frac{3x}{3} = \frac{120}{3}\n]", "### Step 3: Simplify\n[\nx = 40\n]", "---", "### Quick Clarification: “Subtract 6” in Context\nThe phrase “Subtract 6” often appears when we’re solving for ( x ) through rearrangement—like when moving constants to the opposite side. However, in ( 3x = 120 ), no 6 is explicitly present to subtract. Instead, the operation needed is dividing both sides by 3 to “undo” multiplication. That said, practicing subtraction correctly in other equations strengthens your ability to isolate ( x ).", "If an equation included a 6 (e.g., ( 3x - 6 = 120 )), you would add 6 before dividing. For example:\n[\n3x - 6 = 120\n\Rightarrow 3x = 120 + 6 = 126\n\Rightarrow x = \frac{126}{3} = 42\n]", "This illustrates how subtraction and addition are key when balancing equations.", "---", "## Why Learning to Solve ( 3x = 120 ) Matters", "- Builds algebra basics: Understanding linear equations prepares you for more complex problems.\n- Reinforces inverse operations: Dividing by 3 cancels multiplication—critical reasoning.\n- Enhances problem-solving skills: Solving equations trains logical thinking applicable in real-life scenarios.", "---", "## Practice Problems to Master the Concept", "1. Solve: ( 2x = 24 )\n2. Simplify and solve: ( 5x - 6 = 19 ) (includes subtract 6)\n3. Apply the same logic to: ( 3x = 72 ) and ( 4x + 8 = 32 )", "---", "## Final Thoughts", "While the equation ( 3x = 120 ) may hint at subtracting 6 in casual conversation, true mastery comes from recognizing when to divide, simplify, or rearrange terms. Mastering such linear equations is essential—and repeated practice transforms abstract steps into intuitive problem-solving. Keep practicing, and you’ll unlock powerful algebraic confidence!", "---", "### Key Search Terms for SEO:\nsolve \( 3x = 120 \), how to solve \( 3x = 120 \), subtract 6 in algebra, algebra linear equations, step-by-step equation solving, divide to isolate variable, solving equations with multiplication and constants", "---", "Want to dive deeper? Explore our full guide on linear equations and inverse operations to become fluent in algebra."]