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10. Rezolvați în Z ecuația: a) 2(5-x)=3x; d) 3(2x+4)=4x; b) 5(x+6)=2x; e) 5(2x-4)-6x; Lake avansată c) 8(7-x)-6x; f) 2(4x+5)=3x,​

Răspuns :

Răspuns:

a) 2(5-x)=3x=> 10-2x=3x=> 10-2x-3x=0=> 10-5x=0=> -5x=-10=> x=2

b) 3(2x+4)=4x=> 6x+12-4x=0=> 2x+12=0=> 2x= -12=> x= -6

c) 5(x+6)=2x=> 5x+30-2x=0=> 3x+30=0=> 3x=-30=> x= -30:3=> x= -10

d) 8(7-x)-6x=> 56-8x-6x=0=> 56-2x=0=> -2x=-56=> x=(-56):(-2)=> x= 28

e) 2(4x+5)=3x=> 8x+10-3x=0=> 5x+10=0=> 5x=-10=> x= -10:2=> x= -2