SOLUTION: how do you solve and check this algebra equation 2/3x=42

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Question 235008: how do you solve and check this algebra equation 2/3x=42
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Given: %282%2F3%29%2AX+=+42
Multiply both sides by 3/2
%283%2F2%29%2A%282%2F3%29%2AX+=+42%2A%283%2F2%29
The 3/2 & the 2/3 cancel out on the left side of the equation
X+=+42%2A%283%2F2%29rewrite the equation
X+=+126%2F2 Simplify
X+=+63
To check your work, plug 63 into the given equation for X
%282%2F3%29%2AX+=+42
%282%2F3%29%2A63+=+42
42 = 42