SOLUTION: An equilateral triangle has side lengths 7x+4 and 5x+10. Could 8x-1 be the final side of the triangle ?

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Question 942276: An equilateral triangle has side lengths 7x+4 and 5x+10. Could 8x-1 be the final side of the triangle ?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

an equilateral triangle is a triangle in which all three sides are equal
if one side is 7x%2B4 and the other side is 5x%2B10, then third side 8x-1 must be equal to 7x%2B4 and equal to 5x%2B10
first find x using 7x%2B4 and 5x%2B10
7x%2B4=5x%2B10
7x-5x=10-4
2x=6
x=3
so, these two sides are
7x%2B4=> 7%2A3%2B4=> 25
and
5x%2B10=>5%2A3%2B10=>25
now check the third side 8x-1
8x-1=>8%2A3-1=>23
so, 8x-1 could not be the final side of the triangle