Multi-Step Equations – Variables on both sides
1.
2.
3.
4.
Combine like terms on BOTH sides of the equal sign.
Get the variables on one side.
Get the numbers (by themselves) on the other side.
Finish solving the equation and determine how many solutions you have.
What you get when you solve
x= a number
A number = a different number
A number = the same number
Examples:
Example
x=7
2=3
5=5
How many solutions
1 solution
No solutions
Infinitely many solutions
4𝑥 = 2𝑥 + 16
7 − 8𝑥 = −8𝑥 − 17
3 − 2𝑥 − 4 = 𝑥 − 1 − 3𝑥
Independent Work
24 − 3𝑥 = 5𝑥
20 + 4𝑥 = 4𝑥 − 7
9 − 2𝑥 + 8 = 17 − 2𝑥
2 − 8𝑥 = 12 − 8𝑥
𝑥 − 6 = 6 + 4𝑥
1 + 4𝑥 − 6 = −5 + 4𝑥
5𝑥 − 2 = 6𝑥 + 5
3𝑥 + 5𝑥 + 7 = −14 + 8𝑥
−2 + 5𝑥 = 4𝑥 − 2 + 𝑥
4𝑥 − 3 = −9 + 7𝑥
−4 − 5𝑥 = −5𝑥 − 4
3 + 5𝑥 = 1 + 8𝑥 + 2
5𝑥 + 12 = 4𝑥 + 6