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Answer:
x = 7
Step-by-step explanation:
In an isosceles triangle, both legs are always congruent. The length of one leg is given, and the other leg has to be the same. The perimeter of this triangle can be written as:
[tex]x+(3x-5)+(3x-5)=39[/tex]
With this equation, all you need to do is solve for x.
[tex]3+3x-5+3x-5=39\\(-5-5)+(x+3x+3x)=39\\-10+7x=39\\7x=49\\x=7[/tex]