Solving the Equation: 60 + x = 0.5(200 + x)

Understanding how to solve equations is fundamental in algebra, and today we’ll tackle the equation 60 + x = 0.5(200 + x) step-by-step. Whether you’re a student learning basic algebra, a teacher explaining problem-solving techniques, or someone brushing up on math fundamentals, this article will guide you through solving linear equations with clear explanations and practical insight.

Step-by-Step Solution

Understanding the Context

The given equation is:
60 + x = 0.5(200 + x)

Step 1: Expand the Parentheses

First, distribute the 0.5 on the right-hand side:
60 + x = 0.5 × 200 + 0.5 × x
60 + x = 100 + 0.5x

Step 2: Rearrange Terms with x on One Side

Subtract 0.5x from both sides to gather like terms:
60 + x – 0.5x = 100
60 + 0.5x = 100

Step 3: Isolate the Constant

Subtract 60 from both sides:
0.5x = 100 – 60
0.5x = 40

$60 + x = 0.5(200 + x)$

Key Insights

Step 4: Solve for x

Divide both sides by 0.5:
x = 40 ÷ 0.5
x = 80

Final Answer

✅ x = 80

🔗 Related Articles You Might Like:

📰 3x + 2(10 - x) = 24 \Rightarrow 3x + 20 - 2x = 24 \Rightarrow x + 20 = 24 \Rightarrow x = 4 📰 Then $ y = 10 - 4 = 6 $. 📰 Now compute $ 5x + 3y = 5(4) + 3(6) = 20 + 18 = 38 $. 📰 So There Are 9 Favorable Outcomes 📰 So Total Time 1154 11 Hours 12 Minutes 2354 6 Hours 0554 After 11 12 23 Hours 📰 Solar Lunar Lines On Your Palms Astrologys Hidden Message Exposed 📰 Solar Garden Lights That Illuminate Your Yard For Freesee How 📰 Solution Average Equation Frac3Y 1 Y 7 5Y 23 10 Simplify Numerator 9Y 6 30 Subtract 6 9Y 24 Divide Y Frac83 Boxeddfrac83 📰 Solution Average Equation Frac4Z 3 2Z 5 Z 13 6 Simplify Numerator 7Z 3 18 Subtract 3 7Z 15 Divide Z Frac157 Boxeddfrac157 📰 Solution Calculate Frac113 Approx 3666 And Pi 2 Approx 514 Integers Between Them Are 4 And 5 Total 2 Boxed2 📰 Solution Convert 6 Minutes To Seconds 📰 Solution Find Lcm Of 5 And 7 Since They Are Coprime Lcm Is 5 Times 7 35 Boxed35 📰 Solution Find The Least Common Multiple Lcm Of 8 And 12 Prime Factors Of 8 23 Of 12 22 Times 3 Lcm Is 23 Times 3 24 Boxed24 📰 Solution First Compute The Sum 📰 Solution First Convert 2 Hours Into Seconds 📰 Solution Integers Between 447 And 707 Are 5 6 7 Total 3 Boxed3 📰 Solution Let U Racz Wz W So The Second Term Is Rac1U And The Equation Becomes 📰 Solution Let A B 2024 And Suppose D Gcdab Since D Mid A And D Mid B Then D Mid A B 2024 So D Is A Divisor Of 2024

Final Thoughts

Why This Equation Matters

Solving linear equations like 60 + x = 0.5(200 + x) builds essential problem-solving skills. These types of equations are commonly found in science, engineering, economics, and everyday decision-making. They help model real-world situations involving growth, cost, and balance.

Tips for Solving Similar Equations

Always simplify both sides using distributive property.
Move variables to one side and constants to the other.
Use inverse operations carefully to isolate the variable.
Check your answer by substituting back into the original equation.

Practice Problem

Solve:
60 + x = 0.5(200 + x)

Answer:
x = 80