Question

Rezolvati ecuatiile :
a. 2 ( x + 8 ) = 5x + 1
b. 3x - 5 x = 1
c. 2 ( x - 1 ) = 3x + 3
d. - 2 ( 5 - 2x ) = x
e. x + x + 1 + x= - 5
f. 6 - 4 ( x + 3 ) = 8
g. x + 1 = 3 - ( 2 - x )
j. 4 = 5x + 2 ( 3 - x )

Answer 1

2 ( x + 8 ) = 5x + 1
2x + 16 = 5x + 1
16 - 1 = 5x - 2x
15 = 3 x
x = 15 : 3
x = 5

3x - 5x = 1
2x = 1
x = 1/2

2 ( x - 1)= 3x + 3
2x - 2 = 3x + 3
2x - 3x = 3 + 2
- x = 5

x + x + 1 + x = - 5
3x = -5 - 1
3x = - 6
x = - 6 : 2
x = - 3

6 - 4 ( x + 3 ) = 8
6 - 4 x + 12 = 8
- 4x = 8 - 6 - 12
- 4 x= 2 - 12
-4 x = - 10
x = 10 /4    x = 5 / 2

x + 1 = 3 - ( 2 - x)
x + 1 = 3 - 2 + x
1 - 3 + 2= x - x
- 2 + 2= x - x
0 = 0

4 = 5x + 2 ( 3 -x)
4 = 5x + 6 - 2x
4 = 3x + 6
4 - 6 = 3x
- 2 = 3x
x = -2 / 3

Answer 2

a).  2x+16=5x+1  ... 16-1 = 5x-2x  ... 3x=15 ... x=5 ;
b).  3x-5x=1 ... -2x=1 ... x= - 1/2 ;
c).  2x-2=3x+3 ... -x = 5  ...  x= -5 ;
d).  -10+4x=x ... 4x-x = 10 ...  x=10/3 ;
e).  3x=-6 ...  x= -2 ;
f).   6-4x-12=8 ... -4x=14 ...  x= -14/4 ;
g).  x + 1 = 3 - 2+x  ...  x-x = 3-1 (fals) ... 0 ≠2 ;
j).4=5x+6-2x  ...  4-6=3x  .. x = - 2/3 ;