The unknown number from the word problem is 6
let the unknown number be x such that
10 less than 5 times a number will be written mathematically as 5 x-10
and two more than 3 times the number be written mathematically as 3x+2
putting them in equation, we have,
5 x-10=3x+2
Solving becomes
5x-3x =2+10
2x=12
x=12/2=6
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