Question

Simplify: $-6(x-3)-2(1-x)$.

Name: Problem 8, Chapter 3: Beginning and Intermediate Algebra: An Integrated Approach
Uploaded: 2020-08-21T22:06:14-08:00
Duration: 31 s
Channel: Ankit Gupta
Description: Simplify: -6(x-3)-2(1-x).

   Simplify: $-6(x-3)-2(1-x)$.

Beginning and Intermediate Algebra: An Integrated Approach

R. David Gustafson,… 4th Edition

Chapter 3, Problem 8

Instant Answer

Solved by Expert Ankit Gupta

08/21/2020

Step 1

Step 1: Let's expand the first term: $-6(x-3)$ $-6(x-3) = -6x + 18$ Show more…

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Simplify: $-6(x-3)-2(1-x)$.

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Key Concepts

Combining Like Terms

Combining like terms involves adding or subtracting terms that have the same variable components. This process simplifies an expression by reducing the number of terms and consolidating coefficients of similar variables.

Handling Negative Signs

Handling negative signs correctly is crucial in simplifying algebraic expressions. This includes distributing a negative sign across parentheses and ensuring that subtraction operations are properly executed, so that the correctly signed terms are combined.

Distributive Property

The distributive property allows you to multiply a single term by each term inside a set of parentheses. It is essential for expanding algebraic expressions and is applied by multiplying the term outside the parentheses with each term inside the parentheses.

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