No, it won't. I have the LE (one step above the LX), but as far as SLI support goes, they're the same. It won't work because the second x16 PCIe slot only runs at x4 speed and SLI requires that all slots to be used be at least x8 speed.
Here's my recommendation for a great board (as good as the P8Z68-V LX quality wise, many more features and better for OC'ing) that can also SLI. ASRock Z77 Extreme4 LGA 1155 Intel Z77 HDMI SATA 6Gb/s USB 3.0 ATX Intel Motherboard