1. Section 3.4 Solving Equations with Distribution on Both Sides
Goal: Solve equations that use the distributive property on both sides.

2. Basics Distribute First! Simplify the expression (combine like terms)
Goal: Move the variable to the positive side
Solve the Equation using Inverse Relationships
Remember: You always want to solve for the Variable, “X = ?”

3. Solve. 2x + 4 = 5x - 17 7 = x x = 7 2x + 4 = 5x - 17 2x + 4 = 5x - 17
21 = 3x
-3x = -21
7 = x
x = 7

4. Identify Number of Solutions
4 (1- x ) + 3x = -2(x + 1)
4 - 4x + 3x = -2x - 2
4 – x = - 2x - 2
+2x x
4 + 1x = -2
x = -6

5. Solve.
4(x - 2) - 2x = 5(x - 3)
4x x = 5x - 15
2x - 8 = 5x - 15
-2x x
-8 = 3x - 15
7 = 3x

6. Use a variable equation to solve.
Find a number that is 20 more than 4
times its opposite.
Let x = the number
-x = the opposite
x = 4(-x) + 20
x = -4x + 20
+4x +4x
5x = 20
x = 4

7. Practice p + 2p -3 = 6 + 4p -2y = 3y – 18 -5y 3 + 4(x + 5) = 31 – 10x
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USE YOUR NOTES

8. Homework
Worksheet
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Due on Friday, October 11!
Extra 5 points if you turn in completed on Thursday, October 10!