Problem 60
Question
Simplify each algebraic expression. $$2(5 x+4)-3$$
Step-by-Step Solution
Verified Answer
The simplified form of the given expression is \(10x + 5\).
1Step 1: 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 \(2*5x + 2*4 - 3\).
2Step 2: Evaluate Multiplication
Now we can perform those multiplications to get \(10x + 8 -3\).
3Step 3: 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.
Other exercises in this chapter
Problem 60
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Write each sentence as an equation. Let the variable \(x\) represent the number. Five times a number is 35
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Simplify each algebraic expression. $$7(3 y+5)+(-25 y)$$
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