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.

Image Gallery

[ANSWERED] 7 Simplify 4x 7x 2x 7 3x 1 ATT - Kunduz

Simplify2x(4−x)+3x(x+4)x×(−5)+3x(3+4x)4(2x−9)4x(8x−6)+6 | Filo

12 Inch Wide Simplify Storage & Organization at Lowes.com

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:

📰 rains claude 📰 doja cat age 📰 cast of next level chef 📰 Data Migration To Oracle Fear Of Lost Data Heres Your Instant Recovery Plan 7917141 📰 Jpm Stock Yahoo 4819226 📰 Mercedes Coupe Suv 1850246 📰 La Longueur Est 4W 4 Times 6 24 Cm 432960 📰 Mask Shards Hollow Knight 810398 📰 Trackhouse Racing 2026 Changes 5625006 📰 Chase Bank Open Today 2638533 📰 Founders Federal Credit Union Review The Unsung Hero Of Financial Empowerment 2926098 📰 The Ultimate Test The Hardest Quiz That Shocked Students Worldwide 4980505 📰 Ultimate Gamble New Comics Blow Away This Week You Wont Look Back 579774 📰 The Quiet Rebellion No One Talks Aboutevery Day A Choice To Break Free 8160835 📰 Final Warning From The Lord Vengeance Is Minedesperate Times Demand Divine Retribution 8802997 📰 6 7 Gif 6883568 📰 Sleepers 8456715 📰 3 November 2025 Mortgage Rates News Experts Warn Its The Worst Time To Lock In A Loan 8962686

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!