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Solve for $x:3-2x\ge x-12,X\in N$

From the question it is given that,

$3-2x\ge x-12$

So, by transposing we get,

$2x+x\le 12+3$

$3x\le 15$

$3x\le 15$

$x\le 15/3$

$x\le 5$

As per the condition given in the question, x ∈ W.

Therefore, solution set $x=\{1,2,3,4,5\}$