["Subtract 2: Solving the Equation ( 2x = 144 ) – A Simple Step-by-Step Guide", "Solving linear equations is one of the foundational skills in algebra, and understanding how to isolate variables is essential for mastering math. One common problem students encounter is Subtract 2 from both sides of the equation ( 2x = 144 ) — but what does that really mean, and how does it help solve the equation?", "### Understanding the Equation: ( 2x = 144 )", "The equation ( 2x = 144 ) states that twice an unknown value ( x ) equals 144. This means ( x ) represents half of 144, but to find ( x ), we must isolate it by getting rid of the coefficient 2 on ( x ).", "### Step 1: Subtract 2 from Both Sides (But Why?)", "While the typical first step is to divide both sides by 2, distinguishing how to "subtract 2" depends on your goal. If your aim is to simplify or prepare for further steps — such as subtracting 2 directly — here’s how it works:", "Starting with:
\n[
\n2x = 144
\n]", "To “subtract 2” could mean rewriting the equation in a different form:
\n[
\n2x - 2 = 144 - 2 \quad \ ext{(though not necessary)}
\n]
\nor more simply, subtracting 2 if manipulating the expression. However, the more standard algebraic approach is:", "### Correct Approach: Divide Both Sides by 2
\nTo solve for ( x ), divide both sides by 2:
\n[
\n\frac{2x}{2} = \frac{144}{2} \quad \Rightarrow \quad x = 72
\n]", "But if the instruction specifically mentions subtracting 2, one effective way is to continually simplify by subtracting 2 from the left side during transformation — though this is less common algebraically. A clearer interpretation is solving via inverse operations:", "### Why Subtract 2 in Context?", "In some teaching methods, students are encouraged to rearrange equations step-by-step. For example, rewriting:
\n[
\n2x - 2 = 142 \quad \ ext{(not helpful)}
\n]
\nbut recognizing that:", "Subtract 2 from both sides leads to
\n[
\n2x = 142 \quad \ ext{→ still not useful for division}
\n]", "So strictly speaking, the most efficient algebraic path from ( 2x = 144 ) involves division, not subtraction of 2. However, understanding what subtraction does (reducing the equation’s magnitude) builds intuition.", "### Final Answer", "After solving:
\n[
\nx = \frac{144}{2} = 72
\n]", "( x = 72 ) is the solution to ( 2x = 144 ).", "---", "### Summary", "- Original equation: ( 2x = 144 )
\n- Key operation: Divide both sides by 2 → ( x = 72 )
\n- Role of subtraction: Reinforces understanding of inverse operations and equation balancing
\n- Real-world application: Solving for unknowns in physics, engineering, and finance often uses equations like ( 2x = 144 )", "Mastering linear equations step-by-step helps build confidence in algebra — and knowing when and how to apply addition, subtraction, multiplication, and division is key. Start by isolating the variable, not just subtracting numbers.", "---", "Keywords: solve ( 2x = 144 ), algebraic equation solving, divide both sides, subtract 2 explanation, algebra tutorial, linear equations, math practice, step-by-step solving", "Meta Description: Learn how to solve ( 2x = 144 ) by dividing both sides, understand the role of subtraction in balancing equations, and master foundational algebra techniques."]
