Question

Rezolvati ecuatiile urmatoare,unde x ∈ Q:
3(1+4x)=7
(1-2x)3=2
2(2x+3)=7
4(5+2x)= -16
(3x-4)5= -23
5(4x-7)= -43

Answer 1

$a).3(1+4x)=7 \\ 3+12x=7 \\ 12x=7-3 \\ 12x=4 \\ x= \frac{4}{12} \\ x= \frac{1}{3} \\ \\ b).(1-2x)*3=2 \\ 3-6x=2 \\ -6x=2-3 \\ -6x=-1 \\ x= \frac{1}{6}$

$c).2(2x+3)=7 \\ 4x+6=7 \\ 4x=7-6 \\ 4x=1 \\ x= \frac{1}{4} \\ \\ d).4(5+2x)=-16 \\ 20+8x=-16 \\ 8x=-16-20 \\ 8x=-36 \\ x=- \frac{36}{8} \\ x=- \frac{9}{2}$

$e).(3x-4)*5=-23 \\ 15x-20=-23 \\ 15x=-23+20 \\ 15x=-3 \\ x=- \frac{3}{15} \\ x=- \frac{1}{5} \\ \\ f).5(4x-7)=-43 \\ 20x-35=-43 \\ 20x=-43+35 \\ 20x=-8 \\ x=- \frac{8}{20} \\ x=- \frac{2}{5}$