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14. ((2x-2(x-9))/(6))cdot (x+2)=3 olduguna gore A) 3 B) 1 C) -1 D) -2 E) -3

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14.
((2x-2(x-9))/(6))cdot (x+2)=3
olduguna gore
A) 3
B) 1
C) -1
D) -2
E) -3

14. ((2x-2(x-9))/(6))cdot (x+2)=3 olduguna gore A) 3 B) 1 C) -1 D) -2 E) -3

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Elit · 8 yıl öğretmeni
Uzman doğrulaması

Cevap

Let's solve the given equation step by step:<br /><br />\[<br />\left(\frac{2x - 2(x - 9)}{6}\right) \cdot (x + 2) = 3<br />\]<br /><br />First, simplify the expression inside the parentheses:<br /><br />\[<br />2x - 2(x - 9) = 2x - 2x + 18 = 18<br />\]<br /><br />So the equation becomes:<br /><br />\[<br />\left(\frac{18}{6}\right) \cdot (x + 2) = 3<br />\]<br /><br />Simplify the fraction:<br /><br />\[<br />3 \cdot (x + 2) = 3<br />\]<br /><br />Divide both sides by 3:<br /><br />\[<br />x + 2 = 1<br />\]<br /><br />Subtract 2 from both sides:<br /><br />\[<br />x = -1<br />\]<br /><br />Therefore, the correct answer is:<br /><br />C) $-1$
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