Lesson 3.3a Variables on Both Sides.notebook
October 02, 2012
Multi­step equations : The sides of the equations need to be simplified before it can be solved.
3.3
Solving Equations with Variables on Both Sides
Steps For Solving A Multi­Step Equation
1. Use the distributive property to remove parentheses on each side
2. Combine like­terms on each side
3. Make sure there are only variables on one side.
4. Undo addition or subtraction
5. Undo multiplication or division
Sep 5­1:27 PM
7x ­ 1 = 6x +5
Sep 2­2:43 PM
7x ­ 1 = 6x +5
There are x's on both sides of the equal sign. We need to remove the x's on one side
Sep 3­9:32 PM
What if we had decided to move the 7x to the other side first?
Sep 3­9:32 PM
Try one on your own!
8 ­ 2x = 6x + 4
7x ­ 1 = 6x +5
Think: How can I start off with positive x's?
Sep 3­9:32 PM
Sep 3­10:20 PM
1
Lesson 3.3a Variables on Both Sides.notebook
October 02, 2012
Variables on both sides
7w + 3 ­ 2w = 6 + 8w
Sep 5­1:27 PM
2