Now, divide both sides by 5 to solve for \(x\):

["Solving for ( x ) by Dividing Both Sides by 5: A Simple Algebra Step Explained", "Learning to solve equations is a fundamental skill in algebra, and one of the most straightforward strategies is dividing both sides by a constant to isolate the variable. Whether you're working on a math test or brushing up on basic algebra, this method helps you find the value of ( x ) quickly and clearly. In this article, we’ll explore how to solve for ( x ) by dividing both sides of an equation by 5 — a simple yet powerful technique every student should master.", "---", "### What Does “Dividing Both Sides by 5” Mean?", "When solving an equation that contains a coefficient multiplied by ( x ), dividing both sides by that coefficient isolates ( x ). For example, if you have:", "[\n\frac{3x}{5} = 6\n]", "To solve for ( x ), you must eliminate the denominator. Dividing both the left-hand side and the right-hand side by 5 achieves this.", "---", "### Step-by-Step Example: Solving ( \frac{3x}{5} = 6 )", "Step 1: Start with the original equation:\n[\n\frac{3x}{5} = 6\n]", "Step 2: Divide both sides of the equation by 5:\n[\n\left( \frac{3x}{5} \right) \div 5 = 6 \div 5\n]", "Step 3: Simplify the left-hand side:\n[\n\frac{3x}{5} \ imes \frac{1}{5} = \frac{3x}{25}\n]", "Step 4: Right-hand side simplifies to:\n[\n6 \div 5 = \frac{6}{5}\n]", "Step 5: The equation now becomes:\n[\n\frac{3x}{25} = \frac{6}{5}\n]", "Step 6: To isolate ( 3x ), multiply both sides by 25:\n[\n3x = \frac{6}{5} \ imes 25 = \frac{150}{5} = 30\n]", "Step 7: Divide both sides by 3:\n[\nx = \frac{30}{3} = 10\n]", "---", "### Final Answer", "So, the solution is:\n[\n\boxed{x = 10}\n]", "This confirms that when you divide both sides of ( \frac{3x}{5} = 6 ) by 5, you simplify the equation step by step and arrive at the correct value of ( x ).", "---", "### Why This Method Works", "Dividing both sides by 5 eliminates the denominator, reducing the equation to a form where you can directly solve for ( x ). Because algebra follows the principle of performing identical operations on both sides to maintain balance, this technique preserves the equation’s truth while revealing the variable.", "---", "### Tips for Mastering Division in Equations", "- Always simplify coefficients and fractions before dividing.\n- Track signs carefully — dividing by a negative flips the sign.\n- Practice with different numbers to build confidence.\n- Multiplication and division are inverse operations; use them strategically.", "---", "### Summary", "Dividing both sides by 5 is a clear and effective way to solve for ( x ) when a term is divided by 5. By applying this step systematically, you isolate ( x ) step by step, turning a complex equation into a simple solution. Mastering this process strengthens foundational algebra skills and prepares learners for more advanced math challenges.", "---", "Keywords: solve for ( x ), divide both sides by 5, algebra, equation solving, linear equations, step-by-step algebra, simple equation, math homework help, algebra tutorial, solving equations."]