# Compare and contrast simplifying the numeric expression 3 – (2 + 5) to the algebraic expression 3x – (2x + 5).

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The numeric expression 3-(2+5) can be simplified by using the Order of Operations rules (Please Excuse My Dear Aunt Sally).

First you must simplify inside the parentheses --> (2+5)=7

We are left with the single operation 3-7--> 3-7 = -4

**This simplified expression is -4.**

The Algebraic Expression 3x-(2x+5) must be simplified differently. You can't simplify inside the parentheses because 2x and the constant 5 are not like terms.

Using the Distributive Property we can simplify this expression to 3x-2x-5.

We can now combine the like terms to get x-5

**This simplified expression is x-5**

When you simplify 3-(2+5) all the terms are constants so the result is a constant.

3-2-5=-4

**Thus the result is -4.**

When you simplify 3x-(2x+5), you need to group the x terms or variable terms and the constants separately.

3x-2x-5=x-5

**Thus the simplest form of this expression is x-5.**