This is an isosceles triangle. That means the 2 sides touching the = angles have equal length. That means we know \(4x+4=6x-14\) .
To solve, we need to find x. I'll just quickly go through this: \(4x+4=6x-14\rightarrow4 = 2x - 14\rightarrow18=2x\rightarrow x=9\) .
Now that we have x by setting the 2 sides equal to each other, we know the length of the bottom side by substituting 9 in for x, giving us \(2x+7=2(9)+7=18+7\rightarrow x =24\) .