Решите 1) (х-2)/6+х/2=(5х-2)/9 2) (5+2х)/3=(х-3)/5+(х+5)/2 3) (3×(х+1))/8+(2×(5-х))/3=(16-13х)/12 4) (5×(7-2х))/3-(4х-2)/9=(х-19)/2

1)(х-2)/6+х/2=(5х-2)/9
приводим к общему знаменателю
(9(х-2)+27х)/54=(6(5х-2))/54
(9х-18+27)/54=(30х-12)/54
(9х-18+27х-30х-12)/54=0
(6х-6)/54=0
(6(х-1))/54=0
(х-1)/9=0
х-1=0
х=1
2)(5+2х)/3=(х-3)/5+(х+5)/2
(5+2х)/3=(2(х-3)+5(х+5))/10
(5+2х)/3=(2х-6+5х+25)/10
(5+2х)/3-(2х-6+5х+25)/10=0
(10(5+2х)-3(2х-6+5х+25))/30=0
(50+20х-6х+18-15х-75)/30=0
(-х-7)/30=0
-х-7=0
-х=7
х=-7
3)(3(х+1))/8+(2(5-х))/3=(16-13х)/12
(3х+3)/8+(10-2х)/3=(16-13х)/12
(3(3х+3)+8(10-2х))-2(16-13х)/24=0
(9х+9+80-16х-32+26х)/24=0
(33х+57)/24=0
33х+57=0
33х=-57
х=-57/33=-1целая 24/33=1 целая 8/11
4)(5(7-2х))/3-(4х-2)/9=(х-19)/2
(35-10х)/3-(4х-2)/9-(х-19)/2=0
(6(35-10х)-2(4х-2)-9(х-19))/18=0
(210-60х-8х-4-9х+171)/18=0
(-77х+377)/18=0
-77х+377=0
-77х=-377
х=377/77=4целых 69/77