Simplify: $ 4x - 7 = 89 $. - Belip
How to Solve $ 4x - 7 = 89 $: A Simple Step-by-Step Guide
How to Solve $ 4x - 7 = 89 $: A Simple Step-by-Step Guide
Solving linear equations like $ 4x - 7 = 89 $ is an essential math skill used in classrooms, science, and real-world problem solving. Whether you're a student learning algebra or someone brushing up on fundamentals, understanding how to isolate variables step by step makes math easier and more intuitive.
In this article, we’ll break down how to solve the equation $ 4x - 7 = 89 $ in simple, clear terms so you can confidently work through similar problems.
Understanding the Context
What is the Equation $ 4x - 7 = 89 $?
The equation $ 4x - 7 = 89 $ is a linear equation containing one variable, $ x $. Our goal is to find the value of $ x $ that makes the equation true.
Image Gallery
Key Insights
Step-by-Step Solution
Step 1: Eliminate the constant on the left side
Start by removing the $-7$ from the left side. To do this, add 7 to both sides of the equation:
$$
4x - 7 + 7 = 89 + 7
$$
Simplifying both sides gives:
$$
4x = 96
$$
Step 2: Solve for $ x $
Now, divide both sides by 4 to isolate $ x $:
$$
rac{4x}{4} = rac{96}{4}
$$
This simplifies to:
$$
x = 24
$$
Final Answer
🔗 Related Articles You Might Like:
📰 Credit Cards Wells Fargo 📰 Wells Fargo Support Email 📰 Wf Com Full Site 📰 From Puppy To Pros The Best Dog Games You Cant Afford To Miss 7949527 📰 Henry Stickman 4817044 📰 Amd Radeon Device Drivers 8074677 📰 How Kakuzu Transformed My Gameplaybehind The Girl Who Dominated With Precision 1906545 📰 Newsnation 9753030 📰 Why Everyones Obsessed With Hazelness The Hidden Magic You Should Know 126787 📰 Orchid Cactus 848945 📰 Microsofts Top Technical Program Manager Reveals The Hiding Secrets Behind Tech Success 142910 📰 Star Garden Game 9626980 📰 Cheapest Airlines To Vegas 4546471 📰 Microsoft Azure Outage 4700461 📰 Rob Reiner Family 7274827 📰 Cantina Theme Pencil 1325475 📰 Serie A Players 7225298 📰 Osu Football Roster 4110400Final Thoughts
The solution to the equation $ 4x - 7 = 89 $ is $ x = 24 $. This means when $ x $ equals 24, the expression $ 4x - 7 $ equals 89.
Tips for Mastering Linear Equation Solving
- Always perform the same operation on both sides of the equation to keep it balanced.
- Begin by working toward isolating $ x $ — first eliminate constants, then deal with coefficients.
- Always verify your answer by substituting $ x $ back into the original equation.
- Practice regularly with diverse equations to build speed and accuracy.
Why This Equation Matters
Solving equations like $ 4x - 7 = 89 $ is more than just algebra — it builds logical thinking and problem-solving skills used in science, computer programming, finance, and engineering. Understanding these basics prepares you for advanced mathematics and real-life applications.
Summary
- Original equation: $ 4x - 7 = 89 $
- Subtract 7 from both sides: $ 4x = 96 $
- Divide both sides by 4: $ x = 24 $
- Solution verified: checks out in original equation
- Practice = confidence!
