Big test tomorrow but am confused with....?

Question

How would you simplify the equation: 3(b+2)+2x
and c+2(d-5c)?
I was practincing simplifying equations like this and was doing fine until i got to these. the back of the book where the answers are says that the answer for the 1st one is 5b+6 but my mom and i both got confused with it so please help!~
:-(

Answer 1

Distribute the 3 through the b+2: 3(b+2)+2x = 3b+6+2x

Is that really an x, or is it a b? If it's supposed to be a b, then you'd have 3b+6+2b = 5b+6, by combining like terms.

c+2(d-5c) = c+2d-10c by distributing.
Combine like terms and you get -9c + 2d

Answer 2

Is the x supposed to be a b?

You would do this one by distributing the three next to the parentheses.

3(b + 2) = 3b + 3 * 2 = 3b + 6.

You can then add the 2b (if it is a b, not an x), you would get

3b + 6 + 2b = 5b + 6.

For the second one, you would follow the same process.

2(d - 5c) = 2d - 10c

c + 2d - 10c = 2d - 9c.

Remember that you can only multiply things that have the same variable (only add c's with other c's, x's with other x's, etc. 2b + 5 is NOT 7b!)

Answer 3

For the first question there shouldn't be an x if the answer is 5b+6. Make sure that you copied down the problem correctly first and then try again.
As for the second problem, treat it just the same as any other. First multiply c(d-5c) then 2(d-5c) and add the products together.
Good luck on your test!

Answer 4

First of all, that is not even an equation. 3(b+2)+2x is an expression, obviously. If it were an equation, then it would have an equality symbol. Are you sure that that x is not supposed to be a b, cause then it would make sense. You could distribute.....which would be 3b+6+2b and then it would be 5b+6.

Answer 5

if the x in the first equation was b then you would end up with 5b+6...it must be a typo in the book...

given the equations you have here are the simplifications:

3(b+2)+2x
3b+6+2x

c+2(d-5c)
c+2d-10c
2d-9c

Answer 6

3(b+2)+2x = 3b +6 +2x

But if you meant to type
3(b+2)+2b

then the answer is :
3b +6 +2b = 5b +6
**********************
and c+2(d-5c) = c +2d -10c = -9c +2d