Problem 60

Question

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

Step-by-Step Solution

Verified
Answer
The simplified version of the given algebraic expression is \(10x + 5\).
1Step 1: Expanding the Brackets
Start by multiplying the bracketed expression \(5x + 4\) with the factor outside the bracket, which is 2. Thus, it will become \(2 \cdot 5x + 2 \cdot 4\). This results in \(10x + 8\).
2Step 2: Perform the Subtraction
Subtract 3 from the second term of the expression achieved in the first step. This results in \(10x + 8 - 3\), which simplifies to \(10x + 5\).