Question

show what you know
write an equivalent expression to $-5(3 - 2x)$.

Explanation:

Step1: Apply the distributive property

The distributive property states that \(a(b + c)=ab+ac\). For \(-5(3 - 2x)\), we distribute \(-5\) to both terms inside the parentheses. So we have \(-5\times3+(-5)\times(-2x)\).

Step2: Calculate each term

First, calculate \(-5\times3=- 15\). Then, calculate \((-5)\times(-2x) = 10x\) (because multiplying two negative numbers gives a positive result).

Step3: Combine the terms

Combining the two terms we got from the previous step, we have \(-15 + 10x\) (which can also be written as \(10x-15\)).

Answer:

\(10x - 15\) (or \(-15 + 10x\))