Question

Rezolvati ecuatiile urmatoare :
a. 18(2-x)+6(7x-12)=5(2x-1)-3
b. 2(3x+4)-5(2x-3)=7(x-3)+11
c. 4(9x-4)-3(3x-10)+11=4(2x-21)-5
d. 2(5x-4)+6(4x-3)+11=6(3x-4)-7

Answer 1

a) 36-18x+42x-72=10x-5-3
-18x+42x-10x=72-36-5-3
14x=28
x=28:14=2

b)6x+8-10x+15=7x-21+11
6x-10x-7x= -21+11-8-15
-11x=-33
x=33:11=3

c) 36x-16-9x+30+11=8x-84-5
36x-9x-8x=16-30-11-84-5
19x=-114
x=-114:19= -6

d)10x-8+24x-18+11=18x-24-7
10x+24x-18x=8+18-11-24-7
16x=-16
x=-16:16=-1

Answer 2

a. 18(2-x)+6(7x-12)=5(2x-1)-3
36-18x+42x- 72= 10x-5-3
-18x+42x-10x= -8-36+72
14x= 28
x= 28:14⇒ x= 2

b. 2(3x+4)-5(2x-3)=7(x-3)+11
 6x+8-10x+15= 7x-21+11
6x-10x-7x= -10-8-15
-11x = -33
x= -33:(-11)⇒ x= -3

c. 4(9x-4)-3(3x-10)+11=4(2x-21)-5

36x-16-9x+30+11= 8x-84-5
36x-9x-8x= -89+ 16-30-11
19x = -114
x= -114:19 ⇒ x= -6 


d. 2(5x-4)+6(4x-3)+11=6(3x-4)-7
   10x-8+24x-18+11=18x-24-7
10x+24x-18x = -24-7+8+18-11
16x=-16
x=-16:16 ⇒ x= -1