Solve 2(5-x)=(1)/(2)(x+1)[2.2]

Name: Problem 103, Chapter 2: Elementary and Intermediate Algebra
Uploaded: 2020-05-29T23:18:58-08:00
Duration: 1 min 35 s
Channel: Charlene Bische
Description: Solve 2(5-x)=(1)/(2)(x+1)[2.2]

step 1 We have a distributive property, 2 times the quantity, 5 minus x equals 1 half times the quantit

Question

Solve $$ 2(5-x)=\frac{1}{2}(x+1)[2.2] $$

   Solve
$$
2(5-x)=\frac{1}{2}(x+1)[2.2]
$$

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 2, Problem 103

Instant Answer

Solved by Expert Charlene Bische

05/29/2020

Step 1

Step 1: Multiply both sides of the equation by 2 to get rid of the fraction on the right side: $$ 2[2(5-x)]=2[\frac{1}{2}(x+1)] $$ This simplifies to: $$ 4(5-x)=(x+1) $$ Show more…

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Solve $$ 2(5-x)=\frac{1}{2}(x+1)[2.2] $$

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Key Concepts

Clearing Fractions

Clearing fractions involves multiplying both sides of an equation by the least common denominator to eliminate fractions. This simplifies the equation and makes the process of solving for the variable more straightforward.

Solving Linear Equations

Solving linear equations consists of combining like terms and using inverse operations to isolate the variable on one side of the equation. This process relies on the properties of equality, ensuring that operations performed on one side are balanced by those on the other.

Distributive Property

The distributive property allows you to remove parentheses by multiplying a term outside the parentheses by each term inside. This step is crucial for expanding expressions and simplifying equations, which is a foundational skill in algebra.

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