Simplify: $ 4x - 7 = 89 $.

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.

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:

📰 How the Random Guy’s Day Turned Into a Life-Altering Mystery No One Sees 📰 Randy Moss’ Eyes Boggle Everyone—What He Sees Makes Us Stop Talking 📰 The Stare That Betrays—Randy Moss’ Eyes Reveal Something We Can’t Ignore 📰 This Freeze Dried Candy Is Taking The Internet By Stormyou Didnt See This 📰 This Fregola Ingredient Is Changing How We Eat Foreverdont Miss It 📰 This Frehf Hack Is Revolutionary Transform Your Life Overnight 📰 This French Blue 12S Trick Will Leave You Speechlessno One Could Resist 📰 This French Cruller Shatters Everything You Thought About Pastry Perfection 📰 This French Manicure Game Changer Gave Me The Confidence Of A Starletheres How 📰 This French Omelette Recipe Turns Headswatch How It Comes Together 📰 This French Press Secret Transforms Your Brew Beyond Recognition 📰 This French Tradition Will Turn Any Party Into A Giggles And Joyful Birthday Moment 📰 This French Word Will Make Your Goodbye Feel Eternalliterally 📰 This Frenchton Hack Will Blow Your Mindyou Wont Believe What Theyre Hiding 📰 This Frenum Piercing Blow Could Ruin Your Dental Plans Forever Do It Or Lose It 📰 This Fresno Secret Chili Turns Ordinary Nights Into Wild Heat 📰 This Friday Night Honking Left The City Talking For Weeksheres The Full Chaos 📰 This Frigidaire Gallery Will Blow Your Mindyou Wont Find This Anywhere Else

Final 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!