Problem 14

Question

Use the commutative property of addition to write an equivalent algebraic expression. $$6(x+4)$$

Step-by-Step Solution

Verified
Answer
The equivalent algebraic expression is \(6x + 24\).
1Step 1: Identify the Given Expression
The given algebraic expression is \(6(x+4)\). This is a single term expression.
2Step 2: Apply the Distributive Law
Applying the distributive property of addition (multiplying 6 by each of the bracketed terms) converts \(6(x+4)\) into \(6*x + 6*4\).
3Step 3: Perform the Multiplication
Multiply 6 and 4 to simplify \(6*x + 6*4\), simplifying it to \(6*x + 24\).