Therefore, \(9x = 180\).
["Solving ( 9x = 180 ): Step-by-Step Guide to Find the Value of ( x )", "Learning how to solve linear equations is a fundamental skill in algebra, and understanding how to solve ( 9x = 180 ) is a great starting point. Whether you're a student, educator, or someone strengthening math basics, this guide breaks down the step-by-step process to find the value of ( x ).", "---", "### What Does ( 9x = 180 ) Mean?", "The equation ( 9x = 180 ) represents a simple linear relationship where ( x ) is multiplied by 9, and the result equals 180. To solve for ( x ), we need to isolate it by undoing the multiplication—an essential skill in algebra.", "---", "### Step 1: Isolate the Variable ( x )", "To solve for ( x ), divide both sides of the equation by 9:", "[\n9x = 180\n]", "Divide both sides by 9:", "[\nx = \frac{180}{9}\n]", "---", "### Step 2: Perform the Division", "Now calculate:", "[\nx = \frac{180}{9} = 20\n]", "---", "### Final Answer", "The solution to the equation ( 9x = 180 ) is:", "[\n\boxed{20}\n]", "---", "### Why This Equation Matters", "Equations like ( 9x = 180 ) teach how to model real-world problems, from budgeting and planning to scientific calculations. Understanding how to isolate a variable builds a foundation for solving more complex math problems and applying algebra to daily life.", "---", "### How to Check: Back-Step Substitution", "Always verify your solution by plugging ( x = 20 ) back into the original equation:", "[\n9(20) = 180\n]", "[\n180 = 180 \quad \ ext{(True!)}\n]", "---", "### Summary", "Solving ( 9x = 180 ) involves dividing both sides by 9 to isolate ( x ), yielding the clear solution of 20. Mastering such equations strengthens core algebraic reasoning and prepares learners for advanced topics. Practice regularly to build confidence and accuracy!", "---", "Keywords for SEO:\n9x = 180, solve linear equations, algebra basics, solve for x, find x such that 9x = 180, step-by-step equation solving, one-step equation tutorial, intermediate algebra, divide both sides to solve equation, real world math problems, algebra practice problems.", "---", "Start mastering algebra today—solving ( 9x = 180 ) is your first clear step!"]
