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**Equations with Variables on Both Sides**

With Special Guest Stars: The Distributive Property & Combining Like Terms

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**When you have an equation with**

variables on both sides, you get rid of one of them by adding or subtracting. Solve: 4x = 2x

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Answer: x = 16 Now try this one: 7y = y

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Answer: y = 3 For this next problem, you will need to use the Distributive Property first! 3(5a - 4) = 8a + 2

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Answer: a = 2 Here’s another one! x - ( x) = 7x + 4 ↑ careful!

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Answer: x = -3 This time you will need to use the Distributive Property twice! 8(m - 5) = 2(3m - 8)

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Answer: m = 12 This time, combine the like terms on each side of the equal sign before solving. 10x x = x

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**Answer: x = -8 For this problem: 1) Use the Distributive Property**

2) Then, combine the like terms 2( x) = x - 8x

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**Answer: x = 4 6w + 3(5w - 4) = 12(2w - 5) Remember: Distribute, then**

combine the like terms 6w + 3(5w - 4) = 12(2w - 5)

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Answer: w = 16 Here’s the last one! 4x + 5(7x - 3) = 9(x - 5)

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Answer: x = -1

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Solve Equations With Variables on Both Sides. Steps to Solve Equations with Variables on Both Sides 1) Do distributive property 2) Combine like terms.

Solve Equations With Variables on Both Sides. Steps to Solve Equations with Variables on Both Sides 1) Do distributive property 2) Combine like terms.

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