# How do you simplify? 5x+1(x+5+15) = x+5(5x+1+35)

##### 1 Answer

#### Answer:

#### Explanation:

We have:

One way we can simplify this is to work through the Order of Operations:

#color(red)(P)# - Parentheses (also known as Brackets)#color(blue)(E)# - Exponents#color(green)(M)# - Multiplication#color(green)(D)# - Division (this has the same weight as M and so I gave it the same colour)#color(brown)(A)# - Addition#color(brown)(S)# - Subtraction - again, same weight as A and so the same colour)

Our question has

We've taken

And now

We've simplified the expression, so now we need a bit of algebra. Let's move terms so we have

Now let's check our answer:

~~~~~~~~~~

We could also have done this:

distribute first:

then combine like terms:

and then solve in the normal way.