Equations with Variables on Both Sides

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Equations with Variables on Both Sides
With Special Guest Stars: The Distributive Property & Combining Like Terms

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

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

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

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

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

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

Answer: x = -8 For this problem: 1) Use the Distributive Property
2) Then, combine the like terms 2( x) = x - 8x

Answer: x = 4 6w + 3(5w - 4) = 12(2w - 5) Remember: Distribute, then
combine the like terms 6w + 3(5w - 4) = 12(2w - 5)

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