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# State the property where Suzy made the mistake. Given: 2 (x + 4) = 18 2x + 4 = 18 2x = 14 x = 7

where is the mistake

a = a Reflexive property
a = b then b = a Symmetric property
a = b and b = c then a= c Transitive property

### 2 Answers by Expert Tutors

Jon G. | Patient knowledgeable STEM educator/former healthcare practitionerPatient knowledgeable STEM educator/form...
4.9 4.9 (7 lesson ratings) (7)
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I know this is a long and drawn out answer to your question...but for each step in solving for unknowns there has to be specific reasons to do things and whatever is done on one side of the equal sign HAS TO BE DONE on the other side of the equal sign. This kind of problem could be solved in 2 or 3 steps, and as you get continue to do these kinds of problems, you will have that kind of skill. Good Luck

Stefany S. | Providing help in Math, Study Skills, and Test Prep for All GradesProviding help in Math, Study Skills, an...
5.0 5.0 (55 lesson ratings) (55)
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Yaro,

The possible properties you listed do not fit your problem. Were these your initial thoughts or are they the answers you have to chose from?

Here is how Suzie should have solved her problem:

2(x + 4 ) = 18

(2*x) + (2*4) = 18 --- using the distributive property of addition she multipled the 2 by BOTH terms within the parenthesis.

2x + 8 = 18 --- subtracting 8 from both sides to keep the equation balanced

2x = 10

x = 5 ---- dividing both sides by 2 leaving the the x to stand alone.

here's a quick reference of math properties that might help you with these assignments.