When 2 is subtracted from half of a number is 5 less than 25. Then find the number
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x=14
PREMISES
x-2×1/2=6
ASSUMPTIONS
Let x= the number
CALCULATIONS
(1) (x-2)(1/2)=6
(2) x/2–1=6
(3) (x/2)(2)-(1–1)=(6+1)(2)
(4) x-0=14
(5) x=
14
PROOF
If x=14, then the equations
(1) x/2–1=6
(2) 14/2–1=6
(3) 7–1=6 and
(4) 6=6 prove that x=14 is a root of the expression (x-2)(1/2)=6
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