Question 96566
5X+7=3X-5                                  •This is the given.
 
5X-3X=-5-7                                 •Transpose according to their signs.

2X=-12                                     •Combine like terms.

 X=-6                                      •Divide the 2X by 2 in order to have 
                                            X, then, also divide the -12 by 2.
                                            Now, you have the final answer.

CHECKING:
X=-6

5(-6)+7=3(-6)-5                            •Substitute -6 to X because X=-6.

-30+7=-18-5                                •Multiply and then combine them.

-23=-23                                    •The answer is correct. X=-6