Question

Solve for x.





9(x – 2) = 5(2 + x)

Answer 1

@kiamousekia

Answer 2

ok, do you know how to expand parenthesis on both sides?

Answer 3

on the left side, where it says \(9(x-2)\)
you need to multiply 9 times x, and then 9 times -2, and then add the results.

Answer 4

what do you get when you multiply 9 times x?
what do you get when you multiply 9 times -2?

Answer 5

Thank you @SolomonZelman

Answer 6

Yw, but I haven't really helped you solve your problem yet

Answer 7

please, go ahead and respond to my questions:)

Answer 8

9timesx=9x
9times-2= 18

Answer 9

or is it -18?

Answer 10

yes, 9 times -2 is -18

Answer 11

ok thank you :)

Answer 12

So, this is what is going on with the left side....

\(\large\color{black}{ \displaystyle 9(x – 2) = 5(2 + x) }\)

I colored the 9 in red, just to highlight it (to put emphasis on it, don't worry about that)

\(\large\color{black}{ \displaystyle \color{red}{9}(x – 2) = 5(2 + x) }\)

Expanding:

\(\large\color{black}{ \displaystyle \color{red}{9}\times (x)~+~\color{red}{9}\times (-2)= 5(2 + x) }\)

Simplifying:

\(\large\color{black}{ \displaystyle 9x~+(-18)= 5(2 + x) }\)

\(\large\color{black}{ \displaystyle 9x-18= 5(2 + x) }\)

Answer 13

Now, we need to work the right side the same way

\(\large\color{black}{ \displaystyle 9x-18= \color{red}{5}(2 + x) }\)

\(\large\color{black}{ \displaystyle 9x-18= \color{red}{5}\times (2) ~+~\color{red}{5}\times (x) }\)

Answer 14

please simplifiy this expression (when you are done reading my previous replies)

Answer 15

5times2=10
5timesx=5x?

Answer 16

yes

Answer 17

\(\large\color{black}{ \displaystyle 9x-18= \color{red}{5}\times (2) ~+~\color{red}{5}\times (x) }\)

and this above, becomes \(\Downarrow\)

\(\large\color{black}{ \displaystyle 9x-18=10 ~+~5x }\)

Answer 18

now, you need to isolate the x,.

Answer 19

If you know what to do say what your next step is going to be, but if you don't know, it is alright.