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Rezolva ecuatiile:
a) 3(x+5)-6(x-2)=4(x+2)-5(x-4)+1
b) 2(2x+7)+3(x-1)=6(x-3)+18
c) 15(x-1)+4(2-3x)=11-2(x+4)
d) 2x+5+3(3x-1)=8(1-7x)+2+3x
e) 10(3-x)+6(x+3)=19+7(2x-1)


Răspuns :

Răspuns:

Explicație pas cu pas:

a) 3(x+5)-6(x-2)=4(x+2)-5(x-4)+1

3x+15-6x+12=4x+8-5x+20+1

27-3x=29-x

-3x+x=29-27

-2x=2

x=2:(-2)

x=-1

b) 2(2x+7)+3(x-1)=6(x-3)+18

4x+14+3x-3=6x-18+18

7x+11=6x

7x-6x=-11

x=-11

c) 15(x-1)+4(2-3x)=11-2(x+4)

15x-15+8-12x=11-2x-8

3x-7=3-2x

3x+2x=3+7

5x=10

x=10:5

x=2

d) 2x+5+3(3x-1)=8(1-7x)+2+3x

2x+5+9x-3=8-56x+2+3x

11x+2=10-53x

11x+53x=10-2

64x=8

x=8/64

x=1/8

x=0,125

e) 10(3-x)+6(x+3)=19+7(2x-1)

30-10x+6x+18=19+14x-7

48-4x=14x+12

-4x-14x=12-48

-18x=-36

x=-36/-18

x=2