1)
((3/5)/(16/9)x+12x-36= x=2
(27/80)(2)=54/81+24-36=
54/81-12/1=54-972/81=918/81
R=918/81
x=-2
(27/80)(-2)=-54/80-24-36=
-54/80-60/1=574-4800/80=-4746/80
R=4746/80
2)
13x-35+2/7-15/8= x=3
13(3)-35+2/7-15/8=
39-35+2/7-15/8=
(2/7)-(15/8)=89/56
4+(89/56)=224-89/56=135/56
R=1358/56
x=-3
13(-3)-35+2/7-15/8=
-39-35+2/7-16/8=
74+2/7-16/8=16-106/56=89/56
520/7-16/8=44160-112/56=4048/56
R=4048/56
3)
21x-16x-18+23-65+79-45x= x=-4
21(-4)-16(-4)-18+23-65+79-45(-4)=
-84-64-18+23-65+79-180
20+5+14-180=
25-166=-141
R=-141
x=5
21(5)-16(5)-18+23-65+79-45(5)=
105-80-18+23-65+79-225=
25+5+14-225=-181
R=-181
4)
((9/8)(7/14)/(23/6))x+(1/5)x-19= x=-6
(63/112)/(23/6)=378/2576
378/2576(-6)=2268/2576
2268/2576+(1/5)=11340+2576/12880=13916/12880
(13916/12880)(-6)-19=83496-244720/12880=161224/12880
R=161224/12880
x=3
(378/2576)(3)=1134/2576+1/5=5670+2576/12880=8246/12880
8246/12880(3)=24738/12880
24738/12880-19=24738-244720/12880=-219982/12880
R=219982/10880
5)
(23/4)(65/6)+(2/3)x-(16/5)x+22= x=5
(23/4)(65/6)+(2/3)(5)-(16/5)(5)+22=
1495/24+10/3-805+22=
4485+2470/72=4725/75-80/5=23625-6000/375=17625/375
17625/375+22=17625+8250/375=25875/375
R=25875/375
x=-7
1495/24+2/3(-7)
1495/24-14/3=4485-336/72=4149/72
4149/72-16/5=20745-1152/360=19593/360
19593/360-(-7)=19593-2520/360=17073/360
17073/360+22=17073+7920/360=24993/360
R=24993/360
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