1. Solving Multi-Step Equations (2-3 and 2-4)

2. *All like terms must be combined!
Ex) 19 – x – x + 7 = - 12
(19 + 7) + (-x + -x) = -12
x = -12
−2𝑥 −2 = −38 −2
x = 19
You Try: = -2a – 10 + a
1st: combine like terms 2nd: Use inverse operations to isolate the variable and n + 5(n – 1) = 7

3. Solving Equations with variables on both sides
5x + 2 = 2x x = 2x x -2x 3x = 12 ÷3 ÷3 x = 4
1st: Use Inverse Operations to move a term to the other side of the equals sign to combine like terms. 2nd: Use inverse operations to solve for the variable.

4. An equation that is true for EVERY possible value of the variable is an Identity
10x + 12 = 2(5x + 6)
10x + 12 = 10x + 12
*both sides of the equation sign are exactly the same
So ANY value of x would work

5. An equation that has two unequal quantities has NO SOLUTION
9m – 4 = -3m m
9m – 4 = 9m + 5
-9m m
-4 ≠ 5

6. You try:
4p + 2 = 3p -7
2(5x – 1) = 3(x + 11)
2x + 7 = -1(3 – 2x)