The tapestry should be straight which means you need to level the wood before attaching it and the screws should be secure which means driving them into studs or wall anchors.
Hanging tapestry on brick wall.
Install the rod brackets at the desired location.
Insert the rod through the rod pocket in back of the tapestry and secure the rod in the brackets.
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The procedure for hanging the tapestry involves securing the wood to the wall with the top of the tapestry sandwiched between it and the wall.
A curtain rod is a more permanent solution for hanging tapestry on a wall.
To hang a tapestry with a rod pocket slide a piece of baseboard into the pocket then hang the tapestry on the wall by drilling screws into each end of the baseboard.
Weighty textiles and tapestries may need more support and a baseboard will help secure the piece to the wall.