Problem 59

Question

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

Step-by-Step Solution

Verified
Answer
The simplified form of the given expression is \(15x + 6\).
1Step 1: Apply the distributive property
The first step is to perform the distributive property, where 5 is multiplied with each term inside the parentheses. This yields \(5*3x+5*2\).
2Step 2: Multiply
Simply multiply the respective numbers. This will result in \(15x + 10\).
3Step 3: Subtract the constant
Subtract 4 from the expression obtained in the previous step, which yields \(15x + 10 - 4\).
4Step 4: Simplify
Perform the subtraction to simplify the expression, resulting in \(15x + 6\).