x + 300 = 1.2x + 180

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:

📰 atomic size trend 📰 atoya burleson 📰 att layoffs 📰 How One Band Remade Rock History Stroke By Stroke Note By Note 📰 How One Clever Ring Sizer Tool Eliminates Guessing Forever 📰 How One Click Left Rdn Account Exposedand What You Must Do 📰 How One Crafted Relojes Para Hombre Transformed A Bosss Confidence Overnight 📰 How One Crash Might Have Changed The Story Of Jordans Iconic Jump Shot 📰 How One Desert Monument Changed Save Me Foreveryoull Never Look At It The Same Way 📰 How One Family Cooked Zero Effort Zero Mess All Night Lessons Every Cook 📰 How One Freeze Triggered Rally Shook Resedas Population To Its Core Inside The Ice Detention Storm 📰 How One Game Changed The Fate Of The Sacramento Kings The Orlando Magic Timeline Unraveled 📰 How One Game Changed The Season Rutgers Outlasts Minnesota In Clutch 📰 How One Game Shook Spains Sports Soul Olimpias Un Belean Miracle 📰 How One Guitar Workshop At Sam Pura Got My Strings Vibrating Like Never Before 📰 How One Hair Color Transformed Countless Looksbehold The Rose Gold Secret 📰 How One Hair Detail Captured Every Emotion In The Scene 📰 How One Hidden Rule Gave One Team The Edge At The Kings Cup

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