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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset Vaia Explanations$ Math

Common Core Edition · 183 pages

ISBN: 9780547587776

Chapter 3: Q52. (page 127)

Simplify the expression. (Lesson 2.3)
$- (2 x + 3) + 4 (x + 2)$

Short Answer

Expert verified

The simplified expression is $2 x + 5$ .

Step by step solution

01

– Use distributive property

The distributive property is given as $a (b + c) = a b + a c$ .

The given expression is $- (2 x + 3) + 4 (x + 2)$ .

So, $- (2 x + 3) + 4 (x + 2) = - 2 x - 3 + 4 x + 8 [distributiveproperty]$

02

– Combine the like terms

$\begin{matrix} - (2 x + 3) + 4 (x + 2) = - 2 x + 4 x - 3 + 8 [groupliketerms] \\ = 2 x + 5 [combineliketerms] \end{matrix}$

03

– Conclusion

Therefore, the simplified expression is $2 x + 5$ .

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