Simplify 2+(6-x)+2x

Question

I think the awnser is 12+4x I need the awnser to see if I know how to do it because I have a quiz tomorrow

Answer 1

    No, that is not correct. You are thinking that the expression in the parenthesis is being multiplied by the 2 in front. In fact, the 2 in front is being added. since no number appears in front of the parenthesis, we can imagine that there is a 1 since multiplying by 1 does not change the value of the expression. These are sometimes called grouping parenthesis in word problems, showing that 6-x stands for something specific.

     So your expression can be rewritten as 2 + 6 -x + 2x. you can now combine like terms, 2+6=8 and -1x+2x = 1x. Putting that together, in any order you'd get 8+x or x+8. Both answers are correct since they are equivalent. Some teachers prefer that the x term comes first.

Answer 2

Ivan:

 

2 + ( 6 - x) + 2x = 2 + 6 - x + 2x = 8 + x = x + 8

 

How did you get 12 + 4x?

 

Dattaprabhakar (Dr. G.)