Verified answer

Verified answer

task/29385112  просто + 15 баллов

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Решить уравнение : (x-2)/5 -(3x+2)/6 =2/3 - x  .

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(x-2)/5 -(3x+2)/6 =2/3 - x   || *30 ||

6(x-2) -5(3x+2) =2*10 - 30x ;

6x - 12 - 15x -10 =20 -30x  ;

6x - 15x + 30x  =20 + 12 + 10 ;

21 x  =42  ;

x =2.

ответ : 2.

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(x-2)/5 -(3x+2)/6 =2/3 - x ⇔ x/5 -2/5 -3x/6 -2/6 =2/3 - x ⇔

x/5 - 3x/6 +x = 2/3 +2/6+2/5 ⇔ x/5 +x/2 =7/5 ⇔ 7x/10  =7/5 ⇔ x / 2  = 1 ⇔

x  = 2 .