1. Tammy Wallace J R Tucker High
Multi-Step Equations
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Tammy Wallace
J R Tucker High

2. What does it mean to solve multi-step equations?
To solve multi-step equations means to perform multiple steps to find the value for the given variable. The steps used solve multi-step equations can vary with each problem.

3. Step for breaking down multi-step equations
Distribute if necessary.
Combine all line terms.
Make sure the variable is the first term on the left side of the equation.
Solve for the given variable.

4. 𝟏𝟐+𝟑 𝟐𝒙−𝟕 −𝟒𝒙=𝟒𝟎
𝐷𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑒: 𝑥−21−4𝑥=40

5. Distribute: 12+6𝑥−21−4𝑥=40 6𝑥 −4𝑥+12−21=40
𝟏𝟐+𝟑 𝟐𝒙−𝟕 −𝟒𝒙=𝟒𝟎
Distribute: 12+6𝑥−21−4𝑥=40 6𝑥 −4𝑥+12−21=40

6. 12+6𝑥−21−4𝑥=40 6𝑥 −4𝑥+12−21=40 Combine Like Terms 2𝑥−9=40
𝟏𝟐+𝟑 𝟐𝒙−𝟕 −𝟒𝒙=𝟒𝟎
12+6𝑥−21−4𝑥=40 6𝑥 −4𝑥+12−21=40 Combine Like Terms 2𝑥−9=40

7. 𝟏𝟐+𝟑 𝟐𝒙−𝟕 −𝟒𝒙=𝟒𝟎
12+6𝑥−21−4𝑥=40 6𝑥 −4𝑥+12−21=40 Solve your two step equation: 2𝑥−9=40 2𝑥=49

8. 𝟏𝟐+𝟑 𝟐𝒙−𝟕 −𝟒𝒙=𝟒𝟎
12+6𝑥−21−4𝑥=40 6𝑥 −4𝑥+12−21=40 2𝑥−9=40 2𝑥=49 𝑥= 49 2

9. 4 𝑥−3 =20
4𝑥−12=20 4𝑥=32 𝑥=8

10. 4 𝑥−3 =20
Distribute: 4𝑥−12=20

11. 4𝑥−12=20 Solve your 2- Step Equatoin 4𝑥=32 𝑥=8
4 𝑥−3 =20
4𝑥−12=20 Solve your 2- Step Equatoin 4𝑥=32 𝑥=8

12. Try the last two on your own!
THEN CHECK YOUR WORK ON THE SLIDE!!

13. 6𝑥−3−8𝑥+5=24
6𝑥−8𝑥−3+5=24 −2𝑥+2=24 −2𝑥=22 𝑥=11

14. 2 3𝑥+6 +4𝑥−8=34
6𝑥+12+4𝑥−8=34 6𝑥+4𝑥+12−8=34 10𝑥+4=34 10𝑥=30 𝑥=3