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Chapter 1: Problem 60

Simplify each algebraic expression. $$2(5 x+4)-3$$

Short Answer

Expert verified
The simplified form of the given expression is \(10x + 5\).

Step by step solution

01

Apply the Distributive Law

The distributive law allows us to multiply the term 2 by each term inside the parentheses individually. This results in the intermediate expression \(2*5x + 2*4 - 3\).
02

Evaluate Multiplication

Now we can perform those multiplications to get \(10x + 8 -3\).
03

Combine Like Terms

The only two terms that can be combined here are the constants, 8 and -3. This leads to the final, simplified expression \(10x + 5\) as no further simplification is possible.

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