Both perimeters are the same, so:
2(x + 6) + 2(x + 2) = 2(x + 4) + 2(2x - 2)
2x + 12 + 2x + 4 = 2x + 8 + 4x - 4
12 + 2x + 4 = 8 + 4x - 4
16 + 2x = 4x - 4
2x - 4x = 4 - 16
-2x = - 12
x = 6
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