Question

Simplify.-3w-3(-5+2w)+3x

Answer 1

`-9w+3x+15`

Step-by-step explanation

the distributive property states that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

`a(b+c)=ab+ac`

so

Step 1

a) apply the distributive property to break the parenthesis

`\begin{gathered} -3w-3(-5+2w)+3x \\ -3w-3(-5+2w)+3x=-3w-(3)(-5)-(3)(2w)+3x \\ \begin{equation*} -3w-(3)(-5)-(3)(2w)+3x \end{equation*} \\ -3w+15-6w+3x \end{gathered}`

b) now, add like terms(terms that have the same variables and powers)so

`\begin{gathered} -3w+15-6w+3x \\ -9w+3x+15 \end{gathered}`

therefore, the answer is

`-9w+3x+15`

I hope this helps you