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3(x-4)-2(x+5) Expand And Simplify

2 min read Jul 25, 2024
3(x-4)-2(x+5) Expand And Simplify

Expanding and Simplifying 3(x-4) - 2(x+5)

In algebra, expanding and simplifying expressions are essential skills to master. In this article, we will explore how to expand and simplify the expression 3(x-4) - 2(x+5).

Expanding the Expression

To expand the expression, we need to follow the order of operations (PEMDAS):

  1. Distribute the 3 to the terms inside the parentheses:
3x - 12 - 2x - 10
  1. Distribute the -2 to the terms inside the parentheses:
3x - 12 - 2x - 10

Combining Like Terms

Now, let's combine like terms:

(3x - 2x) + (-12 - 10)

Simplifying further, we get:

x - 22

And that's the simplified expression!

Simplified Expression

So, the final simplified expression is:

x - 22

By following the steps, we have successfully expanded and simplified the expression 3(x-4) - 2(x+5).

Recap

  • We expanded the expression by distributing the numbers outside the parentheses to the terms inside.
  • We combined like terms to simplify the expression.
  • The final simplified expression is x - 22.

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