How can I find the intersection between two interpolation functions?

data1 = Table[10*x, {x, 0, 10, 1}]
data2 = Table[-10*x, {x, -10, 2, 1}]

intdata1 = Interpolation[data1];
intdata2 = Interpolation[data2];

ListLinePlot[{data1, data2}]

Solve[intdata1[x] == intdata2[x], x]

This doesn't work, with an error of

Solve::nsmet: This system cannot be solved with the methods available to Solve.

In[9]:= x/.FindRoot[intdata1[x]==intdata2[x],{x,3}]
Out[9]= 6.

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