7+2[3(x+1)-2(3x-1)]

Question

need to simplify

Answer 1

7 + 2[3(x+1) - 2(3x-1)]

 

We need to apply the order of operations (PEMDAS).  First do:

 

3(x+1) = 3x + 3

2(3x-1) = 6x - 2

 

7 + 2[3x + 3 - (6x - 2)]

 

Simplify signs:

 

7 + 2[3x + 3 - 6x + 2]

 

Combine like terms within the brackets [ ]:

 

7 + 2[-3x + 5]

 

Distribute (multiply) the 2 across the terms in the brackets:

 

7 + (-6x) + 10

 

Combine like-terms:

 

-6x + 17