Question

-2(5x-3(2x+(x+y))+3)

Answer 1

8x+6y-6

Answer 2

Solve the Core brackets first.

Answer 3

Morning Allyza. The key to simplification on these types of problems is as Saifoo put it. Start with the core brackets and then work out. In this case, I would start with:

(2x+(x+y)

This simplifies to: 2x+x+y = 3x+y

Now I'm left with -2(5x-3(3x+y)+3), so I am going to focus on 3(3x+y)

-3(3x+y) = -9x-3y, which gives me:

-2(5x-9x-3y+3) = -2(-4x-3y+3) (after I resolve like terms)

Now, I can bring in the -2 and do my final simplification

-2(-4x-3y+3) = 8x+6y+6

Hope that helps and makes sense.

Answer 4

The answer is 8x+6y-6
-2(5x-3(2x+(x+y))+3)
-2(5x-3(2x+ x+y)+3)
-2(5x-3(3x+y)+3)
-2(5x-9x -3y +3)
-10x +18x +6y - 6
8x + 6y - 6

Always work from the core out. The core here is (x + y)