Question

Solve 3 – 2(b – 5) = 7. Or is the equation an Identity? Or if it has any solution at all? I want help to solve it more than the straight answer.

Answer 1

so you just want to solve for b right?

Answer 2

Yes. If it is solvable.

Answer 3

okay so you can start of by distributing the -2 into (b - 5) do you know how to do that?

Answer 4

b=12

Answer 5

Yes.

3-2b+10=7, right?

Answer 6

yes okay so now you can combine the 3 and the 10 into a 13

Answer 7

also b does not =12 @rhr12

Answer 8

okay so now you should have -2b + 13 = 7

Answer 9

Okay so 13-2b=7. Then subtract 13 from both sides?

Answer 10

(3-2)*{b(12)-5}=7
1*7=7
7=7

Answer 11

i used a different formula but i also like your formula @watchpencilpaper

Answer 12

-2b = -6. So then divide -6 by -2, making

b=3, correct?

Answer 13

@rhr12 that would make it an identity, correct? If it is correct, @watchpencilpaper?

Answer 14

If the equation is correct, I mean.

Answer 15

you cant subtract the 2 from the 3 before multiplying it by the (12-5) so its wrong

Answer 16

lets just continue solving the equation and then we can check our answer
so we left of at -2b = -6 right?

Answer 17

Yes. b=3?

Answer 18

yes okay and we can check that by plugging it back into our equation
\[3 - 2(b-5) = 7\]
\[3 - 2((3)-5) = 7\]
\[3 - 2(-2) = 7\]
\[3 - (-4) = 7\]
\[3 + 4 = 7\]
\[7 = 7\]

Answer 19

Alright! Thank you!

Answer 20

yep no problem :D