x + 4x = 66 â 5x = 66 â x = 13,2

Solving the Algebra Equation: x + 4x = 66 − 5x = 66 − x = 13 | Step-by-Step Guide

When faced with a math challenge like x + 4x = 66 − 5x = 66 − x = 13, clear reasoning and step-by-step breakdowns make all the difference. Whether you're a student tackling algebra for the first time or a parent helping your child understand equations, breaking down such problems helps build confidence and understanding.

Understanding the Equation

Understanding the Context

The equation presented appears in two parts:

Left side: x + 4x = 66
Right side: 66 − 5x = 66 − x = 13

Let’s simplify and solve step by step.

Solved 5x1+7x2=32x1+4x2=14x1+x2=63x1+2x2=53x1-2x2=3-4x1+6x2= | Chegg.com

Image Gallery

5) x² + 6x² + 5x-0 7) x² - 8x + 5 = 0 9) x + 13x² + | Chegg.com

Solved 1. 3x4+6x3x2−x−6÷6x33−x 2. x2+2x−34x2+12x+5x−54x 3. | Chegg.com

Solved Add and simplify:5x+6+x+66x2-36=Hint: Find the LCD. | Chegg.com

Key Insights

Step 1: Simplify the Left Side

Start with the left expression:
x + 4x

Combine like terms:
x + 4x = 5x

So now the equation becomes:
5x = 66 − 5x = 66 − x = 13

🔗 Related Articles You Might Like:

📰 Who Knew Paper Airplanes Could Be This ADDICTING? Try This Game Today! 📰 Unlock Super Strength & Missions with the Hottest Paper Airplane Game Online! 📰 Stop Wasting Time—Download the Parking App Asbury Park Now! 📰 The Hidden Whip Sound Technology Youve Been Searching Forrevealed 213673 📰 Learn Geoguesser Secrets That Will Take Your Navigation Skills To A Whole New Level 5703371 📰 Ctrlshifte See Windows 10 File Extensions You Never Saw Beforetruth Revealed 1690758 📰 You Wont Believe Which Stars Populated The Hellboy Cast Full Cast Breakdown 6011367 📰 Secrets Of The Perfect Tree Swing Feel Freedom Like Never Before 9703986 📰 Barbarian Bg3 The Shocking Secret That Will Change How You Play Forever 5112478 📰 Va Hiring Freeze 83827 📰 Osprey 26 6 2296764 📰 3Yx2 4Xy 5Y2 3X2Y 12Xy2 15Y3 810826 📰 Harvard University Campus 5759533 📰 Apps Ticker 1191376 📰 Prayers For Sickness And Healing 2052410 📰 Debi Thomas 2405624 📰 Italian Open 2171162 📰 Best Bank To Start An Account 6068572

Final Thoughts

Step 2: Focus on One Side — Right Side

From 66 − 5x = 66 − x = 13, notice patterns:

The phrase 66 − 5x = 66 − x suggests a way to simplify. Subtract 66 from both sides:

66 − 5x − 66 = 66 − x − 66
−5x = −x

Now divide both sides by −1:

5x = x

But this contradicts the original equation unless x = 0 — but that doesn’t satisfy 66 − x = 13, so we must interpret the equation more carefully.

Let’s simplify from 66 − 5x = 66 − x directly:
Subtract 66 from both sides:
−5x = −x

→ −5x + x = 0
→ −4x = 0
→ x = 0, again inconsistent with 66 − x = 13

So our assumption that the full expression 66 − 5x = 66 − x equals the same value may not hold unless equated properly.