Details                                           

 

The goal is to obtain BOTH variables on the SAME side of the equation, with the constant (the number) on the other side. To move any monomial, you would add the opposite of the monomial to both sides of the equation. Here are some examples to demonstrate this.
Example # 1
2y = x + 5
 
(subtract x)
- x
- x
 
 
2y - x
=
5
 
     
Example # 2
x + 7 = - y
(subtract x)
- x
 
- x
 
7
=
- y - x
   
Example # 3
y = - 6x
 
(add 6x)
+6x
+6x
 
 
y + 6x
=
0