Problem one: 5x - 4 = -2(3x + 2) Use the distributive property to calculate what's in the parentheses 5x - 4 = -6x - 4 Add 4 to both sides 5x = -6x (From here you can say x = 0 but here's a few final steps if you want) Add 6 x to both sides 11x = 0 Divide both sides by 11 X=0 --------------------------------------------- Problem 2: Megan's solution
Megan correctly distributed the parentheses in her first step Megan errored when she ADDED 5x to the left side but SUBTRACTED 5x from the right side in her third line From that error she correctly finished the problem, but due to her error she got the wrong answer The correct answer is x=11
When you use the Distributive Property, we will find... 5x - 4 = -6x - 4 Eliminate 4 by adding it to both sides. 5x = -6x Add 6x to both sides and we get 11x = 0. 11x = 0 Divide both sides by 11.
x=0
The only mistake Megan made was when adding 5x with Megan accidentally subtracting 5x from the other side.
For this problem: 3(2x − 4) = 5x − 1 Distribute 6x - 12 = 5x - 1 Add 1 to both sides 6x - 11 = 5x Subtract 6x from both sides -11 = -x Divide both sides by -1. x = 11.
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