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.

$3x - 2x - 5 = 7$

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:

📰 Sabrina Banks Reveals Her Nudes—Life Changes Forever After This Secret Leak 📰 You Won’t Believe What Sabrina Banks Revealed in These Scandalous Nudes 📰 Sabrina Banks’ Hidden Nudes Exposed—See the Moment That Went Viral 📰 A Cylindrical Tank Has A Radius Of 3 Meters And A Height Of 5 Meters If The Tank Is Filled With Water What Is The Volume Of The Water In Cubic Meters 📰 A Cylindrical Tank With A Radius Of 3 Meters Is Filled With Water To A Height Of 10 Meters If The Tank Is Emptied At A Rate Of 2 Cubic Meters Per Minute How Long Will It Take To Completely Empty The Tank 📰 A Digital Clock Displays Time In Hhmm Format At What Time Will The Clock Show 1154 Exactly 276 Hours Later 📰 A Function Fx X3 3X2 2X Has Roots Find Them 📰 A Glaciologist Is Using Remote Sensing Data To Model Glacier Melt Over Time The Rate Of Change In Glacier Volume Is Represented By Gt T3 4T2 4T Determine The Critical Points Where The Volume Change Rate Is Zero 📰 A Laboratory Has 150 Bacteria Cultures The Number Of Cultures Increases By 20 Every Hour How Many Bacteria Cultures Will There Be After 3 Hours 📰 A Ladder Is Leaning Against A Wall Reaching A Height Of 12 Meters If The Base Of The Ladder Is 5 Meters From The Wall What Is The Length Of The Ladder 📰 A Mixture Contains 60 Water And 40 Juice How Much Water Must Be Added To 50 Liters Of This Mixture To Achieve A New Mixture That Is 80 Water 📰 A Quadratic Equation Ax2 Bx C 0 Has Roots Alpha And Beta If A 2 B 7 And C 3 Find The Sum And Product Of The Roots 📰 A Quadratic Equation Is Given By 2X2 4X 6 0 Solve For X Using The Quadratic Formula 📰 A Quadratic Equation Is Given By Ax2 Bx C 0 If The Roots Are 3 And 5 Find The Equation Given That A 2 📰 A Rectangle Has A Length That Is Twice Its Width If The Perimeter Of The Rectangle Is 36 Units What Is The Width Of The Rectangle 📰 A Rectangular Field Has A Length 4 Meters More Than Twice Its Width If The Area Is 104 Square Meters What Is The Width 📰 A Rectangular Garden Has A Length Of 15 Meters And A Width That Is 3 Meters Less Than The Length If The Garden Is Expanded By Increasing Both Dimensions By 2 Meters What Is The New Area Of The Garden 📰 A Rectangular Garden Has A Length That Is Twice Its Width If The Perimeter Of The Garden Is 60 Meters What Is The Area Of The Garden

Final 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.

How to Solve 3x - 2x - 5 = 7: Step-by-Step Guide with Free Math Tips