Equilateral Triangle Side Lengths

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Homework Statement


Th measure of the sides of an equilateral triangle are represented by x + 12, 3x - 8, and 2x + 2. What is the measure of each side of the triangle.



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The Attempt at a Solution


Well, I know that each side of this triangle are equal, resulting in only one x-value. I first thought of solving them as a system of equations, but then I realized that these are just expressions--they are equal to nothing. How do I solve this?
 
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If A, B and C are the lengths of the side of an equilateral triangle then A=B=C.

Putting two sides equal to each other should give you the desired result.
 
Blimey, thank you so very much for you time and insight.