Solving Multi-Step Equations Just remember to follow the steps 1.Distribute if you can 2.Collect all like terms to simplify 3.Get rid of the friend 4.Get rid of the boyfriend
Example # 1 15 – 4 ( y + 3 ) = y - 12 = y = y = y = -4 1 st Step: Distribute if you can 2 nd Step: Collect like terms to simplify 3 rd Step: Get rid of the friend 4 th step: Get rid of the boyfriend
Example # 2 X = 2
Example # 3 2( 4x + 3) – 5(2x – 1) = 27 1 st Step: Distribute if you can 2 nd Step: Collect like terms to simplify 3 rd Step: Isolate the variable using the opposite order of operations 4 th step: Check your answer
The Distributive Property Our Friend for Solving Equations Also starring, his Wacky Sidekick, Combining Like Terms
3(2x + 5) = 39
Answer: x = 4
- 4(8 + 5n) = 8
Answer: n = -2
6(3x - 5) - 7x = 25
Answer: x = 5
-2(5 + 6m) + 16 = -90
Answer: m = 8
18x - (8x - 7) = 67
Answer: x = 6
7w - 3(4w + 8) = 11
Answer w = -7