\[ 3x - 2x - 5 = 7 \] - Parker Core Knowledge
How to Solve 3x - 2x - 5 = 7: Step-by-Step Guide with Free Math Tips
How to Solve 3x - 2x - 5 = 7: Step-by-Step Guide with Free Math Tips
Solving simple linear equations like 3x - 2x - 5 = 7 is a fundamental skill in algebra that helps build problem-solving confidence. Whether you're a student, teacher, or someone brushing up on math basics, this article walks you through solving the equation step by step, explains the logic behind each action, and provides practical tips to master similar problems.
Understanding the Context
Step 1: Understand the Equation
Begin by analyzing the equation:
3x - 2x - 5 = 7
This is a linear equation involving a single variable x. The goal is to isolate x on one side of the equation to find its value.
Image Gallery
Key Insights
Step 2: Combine Like Terms
Simplify the left-hand side by combining like terms.
On the left: 3x - 2x
Since both terms contain x, subtract:
3x - 2x = x
Now rewrite the equation:
🔗 Related Articles You Might Like:
📰 Coop Pc Games 📰 When Is Fortnite Server Coming Back Up 📰 Reset Fortnite Password 📰 Now Choose 4 Years Out Of 5 Including Both Year 1 And Year 3 Then Pick One Domain From Each 5405601 📰 Find The Best Nintendo Switch Near You Did You Know This Store Has The Best Deals 5215850 📰 Las Vegas Raiders Vs Arizona Cardinals Match Player Stats 9686841 📰 Exchange Dong To Usd 6386494 📰 Brewers Vs Cubs Prediction 6728687 📰 Bet Against The Odds Why Sint Stock Is The Hottest Investment Right Now 5079399 📰 Organ And Organ System Definition 2306277 📰 Calculate X X Rac 42 Imes 2 Rac44 1 7660917 📰 Absolute Batman The Ultimate Dark Knight That Shocked The World 9602273 📰 Bear Pokemon 7390561 📰 Devices Heres How Fidelity Jobs In Raleigh Nc Are Changing Careers Forever 324418 📰 Define Dispenser 9835812 📰 Sp 500 News 6440809 📰 Wilson From Home Improvement 5502390 📰 Racddx 5X2 10X 6073086Final Thoughts
x - 5 = 7
Step 3: Isolate the Variable
To solve for x, eliminate the constant term on the left. Add 5 to both sides of the equation:
x - 5 + 5 = 7 + 5
x = 12
Step 4: Check the Solution
Plug x = 12 back into the original equation to verify:
3(12) - 2(12) - 5 = 7
36 - 24 - 5 = 7
7 = 7 ✅
The solution checks and confirms x = 12 is correct.
