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Chapter 0: Problem 85

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

Short Answer

Expert verified
The simplified algebraic expression is \(15x + 16\).

Step by step solution

01

Distribute the Number Across the Bracket

Distribute the number standing in front of the parenthesis (which is 5 in this case), to simplify the expression. This is done by multiplying the number outside the parenthesis (5) to every term inside the parenthesis. Therefore, \(5*3x = 15x\) and \(5*4 = 20\). So the expression becomes: \(15x + 20 - 4\).
02

Simplifying the Constants

Now, there are two constant numbers in the expression: 20 and -4. Subtract 4 from 20 to simplify further. Therefore, the expression now becomes: \(15x + (20 - 4) = 15x + 16\).

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