Question

Rezolvati ecuatiile in ℝ
a) -3x+3=x-1
b) -5x+2=3x+10
c) 6x+12=2(x+2)
d) 5-2(x+3)=7x+1
f) -2(x+3)-5(2x-1)=12

Answer 1

a) -3x+3=x-1
-4x=-4
x= 1

b) -5x+2=3x+10
-8x=8
x= -1

c) 6x+12=2(x+2)
6x+12=2x+4
4x=-8
x= -2

d) 5-2(x+3)=7x+1
5-2x-6=7x+1
-9x=2
x= -9/2

f) -2(x+3)-5(2x-1)=12-2x-6-10x+5=12
-12x=13
x=-13/12

Answer 2

a) -3x+3=x-1
-3x-x=-1-3
-4x=-4
x=(-4):(-4)
x=1

b) -5x+2=3x+10
-5x-3x=10-2
-8x=8
x=8:(-8)
x=-1

c) 6x+12=2(x+2)
6x+12=2x+4
6x-2x=4-12
4x=-8
x=-8:4
x=-2

d) 5-2(x+3)=7x+1
5-2x-6=7x+1
-1-2x=7x+1
-2x-7x=1+1
-9x=2
x=2:(-9)

e) -2(x+3)-5(2x-1)=12
-2x-6-10x+5=12
-12x-1=12
-12x=12+1
-12x=13
x=13:(-12)