Question

REZOLVATI ECUATIILE:

1) 2(x-3)=3(x+6)

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

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

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

5) 6(x-1)-2(x+5)=20.

Answer 1

1) 2(x-3)=3(x+6)
2x-6=3x+18
2x-3x=18+6
-x=24
x=-24

2) 3(x+4)=2(x-6)
3x+12=2x-12
3x-2x=-12-12
x=-24

3) 4(x-2)=2(x+6)
4x-8=2x+12
4x-2x=12+8
2x=20
x=20:2
x=10

4) 5(x-3)-2(x+1)=2(x-5)
5x-15-2x-2=2x-10
3x-17=2x-10
3x-2x=-10+17
x=7

5) 6(x-1)-2(x+5)=20.
6x-6-2x-10=20
4x-16=20
4x=20+16
4x=36
x=36:4
x=9