SOLUTION: Can you solve for L Please P=2L+2W+2H

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Question 1126297: Can you solve for L Please
P=2L+2W+2H
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Answer: L+=+%28P-2W-2H%29%2F2

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Work Shown:

We want to solve for L, so we have to get it all by itself on one side. We want to isolate this term.

The way we do that is to undo PEMDAS. We follow the order of operations in reverse. So we'll undo subtraction first (if there is any subtraction going on), then undo addition (if there is any addition going on) etc.

P=2L%2B2W%2B2H Here is the starting equation we are given

P-2W=2L%2B2W%2B2H-2W Undoing addition; Subtract 2W from both sides

P-2W=2L%2B2H The 2W term goes away on the right side

P-2W-2H=2L%2B2H-2H Undoing addition; Subtract 2H from both sides

P-2W-2H=2L The 2H term goes away on the right side

2L+=+P-2W-2H Flip the equation

%282L%29%2F2+=+%28P-2W-2H%29%2F2 Undoing multiplication; divide both sides by 2

L+=+%28P-2W-2H%29%2F2 Simplify the left side

Optionally we could break up the fraction on the right side to get this
L+=+%28P-2W-2H%29%2F2
L+=+P%2F2-%282W%29%2F2-%282H%29%2F2
L+=+P%2F2-W-H
but again it's optional