x + 300 = 1.2x + 180 - Simpleprint

Solving the Equation x + 300 = 1.2x + 180: A Step-by-Step Guide

Understanding how to solve linear equations is a fundamental skill in algebra, and equations like x + 300 = 1.2x + 180 are excellent examples to practice this concept. Whether you’re a student or just brushing up on your math skills, solving this equation step-by-step will help you build strong problem-solving abilities.

Understanding the Context

Understanding the Equation

The equation x + 300 = 1.2x + 180 is a linear equation involving one variable, x. Our goal is to isolate x on one side of the equation to find its exact value. This process reinforces important algebra techniques and strengthens logical thinking.

Step-by-Step Solution

Key Insights

Step 1: Eliminate the variable on one side
Start by subtracting x from both sides to collect all x terms on the right:

$$
x + 300 - x = 1.2x + 180 - x
$$

This simplifies to:
$$
300 = 0.2x + 180
$$

Step 2: Isolate the constant terms
Subtract 180 from both sides to move all constants to the left:

🔗 Related Articles You Might Like:

📰 Peach Victoria’s Unseen Masterpiece Proves She’s More Than a Queen—She’s a Legend 📰 Unveiled Before Your Eyes How Patchwork Tattoos Transform Your Body Into Living Art 📰 Shocked Customers Discovered Every Mismatched Thread Tells A Hidden Story 📰 This Unprecedented Study Is Reshaping How We Read Academic Journals 📰 This Unseen Event Will Change Everything You Know 📰 This Unsettling Face Changes Livesno One Saw It Coming But Now You Fern 📰 This Unstoppable Vasper System Secrets Will Leave You Breathless Forever 📰 This Upholstery Fabric Looks Cheap But Boosts Home Worth A Fortune 📰 This Upmovies Release Is Hiding The Ultimate Secrets You Need 📰 This Uppababy Bassinet Is Changing Babies Sleepsdont Miss The Magic 📰 This Uppababy Innovation Is Hiding Something Your Baby Needs To Survive 📰 This Upper Chest Routine Transforms Your Midsection In Days 📰 This Upright Piano Produces Magicstand Back As It Stuns Listeners 📰 This Upser Is Revolutionarymind Blowing Results Allegedly 📰 This Upside House Is Real The Secret Within Shocks Everyone 📰 This Upstap Progress Will Blow Your Mindstart Now Before Its Gone 📰 This Urbamate Hack Is Changing Cities Forever The Truth Is Shocking 📰 This Us Warship Got Stolen Staresand Behind It Lies A Teased Tragedy

Final Thoughts

$$
300 - 180 = 0.2x + 180 - 180
$$

$$
120 = 0.2x
$$

Step 3: Solve for x
Now divide both sides by 0.2 to solve for x:

$$
x = rac{120}{0.2} = 600
$$

Verification

To ensure the solution is correct, substitute x = 600 back into the original equation:

Left side:
$$
x + 300 = 600 + 300 = 900
$$

Right side:
$$
1.2x + 180 = 1.2(600) + 180 = 720 + 180 = 900
$$