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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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Solving Multi-step Equations by Combining Like Terms and with Variables on Both Sides.

Solving Multi-step Equations by Combining Like Terms and with Variables on Both Sides.

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