Solve equations with variables on both sides
Key Notes :
To solve for a variable, use inverse operations to undo the operations in the equation. Be sure to gather like terms and to do the same operation to both sides of the equation.
Learn with an example
Solve for w.
-8 + 5w = 3w
w = _______
Solve for w.
– 8 + 5w = 3w
– 8 = –2w Subtract 5w from both sides
4 = w Divide both sides by –2
Solve for m.
– 4m − 10 = – 6m
m =_______
Solve for m.
– 4m − 10 = – 6m
–10 = –2m Add 4m to both sides
5 = m Divide both sides by –2
Solve for s.
3s − 2 = 5s
s = _______
Solve for s.
3s − 2 = 5s
– 2 = 2s Subtract 3s from both sides
–1 = s Divide both sides by 2
Let’s practice!
