Question

Rezolvati ecuatiile in R:
a) 2(x+1) - 7(x-3)= 3(x+10) +1
b) 5(x-3)-6(x+2)=7(x+3)-8
c) 2(3x+4)-5(1-2x)=7(2x-3)+12
d) 3(2x+5)-4(1-2x)=6(2x-3)+17
e) 2(3x+4)-5(1+2x)=7(2x+3)+18
f) 3(2x+5)-4(1+2x)=6(2x+3)+19

Answer 1

a) 2(x+1) - 7(x-3)= 3(x+10) +1 
2x+2-7x+21=3x+30+1
-5x+23=3x+31
-5x-3x=31-23
-8x=8
x=-1

b) 5(x-3)-6(x+2)=7(x+3)-8
5x-15-6x-12=7x+21-8
-x-27=7x+13
7x+x=-27-13
8x=-40
x=-40:8
x=-5

c) 2(3x+4)-5(1-2x)=7(2x-3)+12
6x+8-5+10x=14x-21+12
16x+3=14x-9
16x-14x=-9-3
2x=-12
x=-12:2
x=-6

d) 3(2x+5)-4(1-2x)=6(2x-3)+17
6x+15-4+8x=12x-18+17
14x+11=12x-1
14x-12x=-1-11
2x=-12
x=-12:2
x=-6

e) 2(3x+4)-5(1+2x)=7(2x+3)+18
6x+8-5-10x=14x+21+18
-4x+3=14x+39
-4x-14x=39-3
-18x=36
x=36:(-18)
x=-2

f) 3(2x+5)-4(1+2x)=6(2x+3)+19
6x+15-4-8x=12x+18+19
-2x+11=12x+37
-2x-12x=37-11
-14x=26
x=36:(-14)
x=2,(571428)