Solve for \( x \): \( 5x = 120 \).
["# Solve for ( x ): The Simple Equation You Need to Know", "Learning how to solve basic linear equations is a foundational skill in algebra. One of the most straightforward and widely used equations is ( 5x = 120 ). Whether you're a student mastering algebra or someone brushing up on math basics, understanding how to isolate ( x ) step by step is essential. In this article, we’ll break down the solution process clearly and effectively.", "## Understanding the Equation", "The equation ( 5x = 120 ) is a simple linear equation where the variable ( x ) is multiplied by a coefficient, 5, and equals 120. Our goal is to find the value of ( x ) that makes this statement true. Solving for ( x ) means isolating it on one side of the equation.", "## Step-by-Step Solution", "To solve for ( x ), we need to isolate the variable. Here’s a clear, logical breakdown:", "### Step 1: Identify the coefficient of ( x )\nThe coefficient of ( x ) is 5 — it’s multiplying ( x ), so we need to eliminate it by performing the opposite operation.", "### Step 2: Apply the Division property of equality\nTo cancel out the 5, divide both sides of the equation by 5:\n[\n\frac{5x}{5} = \frac{120}{5}\n]", "### Step 3: Simplify both sides\nThe left side simplifies to just ( x ), and the right side is:\n[\nx = 24\n]", "---", "## Final Answer", "[\n\boxed{x = 24}\n]", "---", "## Why This Equation Matters", "The equation ( 5x = 120 ) is more than just a textbook example. It demonstrates core algebraic principles:\n- Isolating variables\n- Applying inverse operations\n- Simplifying expressions", "These concepts apply to real-world problems like calculating rates, budgeting, or scaling recipes. Mastering such equations strengthens your logical thinking and problem-solving skills—valuable in both academics and everyday life.", "## Want to Solve More Equations Like This?", "Try practicing by changing the numbers:\n- Solve ( 7x = 49 )\n- Solve ( 12x = 96 )\n- Solve ( 3x + 6 = 21 )", "Each new equation reinforces your ability to identify coefficients, apply inverse operations, and isolate variables confidently.", "---", "Keywords: solve ( x ), linear equation, algebra, mathematical equation, step-by-step solution, 5x = 120, solving equations, math basics, algebraic equations, Iraq, educational resource, problem solving.", "---", "Meta Description: Learn how to solve ( 5x = 120 ) with a clear step-by-step guide. Master basic algebra and build strong math foundations today."]
