x + 300 = 1.2x + 180 - ECD Germany
Solving the Equation x + 300 = 1.2x + 180: A Step-by-Step Guide
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
Image Gallery
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:
📰 Track Bonus 📰 Rates Business Loans 📰 Mortgage How Much Can I Afford 📰 See This Stunning Happy Birthday Calligraphy Thatll Make You Cry Unlock Timeless Joy Today 5554711 📰 Kipper The Dog Exposed A Shocking Truth In A Heartwarming Moment 7200305 📰 The Forbidden Truth About Mexico Guerrerobehind The Headlines Lies More Than You Imagine 3021415 📰 Fireplace Stone Face 9520310 📰 Nurses Week Deals 4270839 📰 The Mind Blowing Discovery Great Italian Stars Exclusive Sex Tape Unveiled 446002 📰 Frage Welche Zweistellige Positive Ganze Zahl Ist Um Eins Mehr Als Ein Vielfaches Von 5 Und Um Zwei Mehr Als Ein Vielfaches Von 6 4829640 📰 Erin Andrews Husband 6264690 📰 Turn Any Hair Color Around In Secondsnon Permanent Spray You Cannot Resist 6494819 📰 Flush 5000 In Savings At 375 Pearl Street Nycyou Wont Believe Whats Inside This Hidden Gem 3336380 📰 You Wont Believe What Happened At National Lampoons Christmas Vacation 2Unbelievable Holidays Return 2119837 📰 Vulpix Evolving 9684899 📰 Crystal Plaza 1477594 📰 Breakaway Carolina 1211238 📰 Nintendo Franchises 6369722Final 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:
$$
1.2x + 180 = 1.2(600) + 180 = 720 + 180 = 900
$$
