Not sure where to begin?

[pgotm]

I have this problem and I'm not sure what I'm doing.

(x-2)(x+5)=(x-3)(x+2)
I foiled the left and then the right, not sure if I'm even doing it right.
x^2+5x-2x-1-=x^2+2x-3x-6
was i going in the right direction and where do I go from now if I am.
Thanks so much!

 

[Unco]

The objective is probably is to solve for x. You've got the first step perfectly correct (sigh, for others: the minus sign is a zero).

Then you want to simplify each side (add like x terms).

Now notice there is an x^2 term on either side, so they cancel (subtract x^2 from both sides). Can you proceed to solve for x from there?

 

[pgotm]

ok then so i got
x^2 + 3x -1 = x^2 - 1x-6
-x^2 -x^2
_____________________
3x-1=-1x-6 ?
SOrry then
4x=-5
x=-5/4 ?

 

[kaebun]

that looks right to me

 

[Unco]

ok then so i got
x^2 + 3x -1 = x^2 - 1x-6
-x^2 -x^2
_____________________
3x-1=-1x-6 ?
SOrry then
4x=-5
x=-5/4 ?

This work is correct. Though, the original expansion gave x^2+5x-2x-10 = x^2+2x-3x-6, though.