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Vezi imaginea АНОНИМ

e) [tex]\dfrac{5}{8}[/tex]x+[tex]\dfrac{1}{2}[/tex]+[tex]\dfrac{1}{3}[/tex]x=[tex]\dfrac{1}{2}[/tex]x+4

[tex]\dfrac{15x+12+8x}{24}[/tex]=[tex]\dfrac{x+8}{2}[/tex]

[tex]\dfrac{23x+12}{24}[/tex]=[tex]\dfrac{x+8}{2}[/tex]

2(23x+12)=24(x+8)

46x+24=24x+192

46x-24x=192-24

22x=168

x=[tex]\dfrac{168}{22}[/tex]=[tex]\dfrac{84}{11}[/tex]

h) [tex]\dfrac{9}{5}[/tex]x-[tex]\dfrac{8}{10}[/tex]x+2[tex]\dfrac{1}{3}[/tex]=1[tex]\dfrac{7}{9}[/tex]x

[tex]\dfrac{9}{5}[/tex]x-[tex]\dfrac{4}{5}[/tex]x+[tex]\dfrac{7}{3}[/tex]=[tex]\dfrac{16}{9}[/tex]x

[tex]\dfrac{27x-12x+35}{15}[/tex]=[tex]\dfrac{16}{9}[/tex]x

[tex]\dfrac{15x+35}{15}[/tex]=[tex]\dfrac{16}{9}[/tex]x

9(15x+35)=15·16x

135x+315=240x

315=240x-135x

315=105x

x= [tex]\dfrac{315}{105}[/tex]=3

k) [tex]\dfrac{4}{5}[/tex]x+1[tex]\dfrac{1}{2}[/tex]=[tex]\dfrac{1}{10}[/tex]x+19[tex]\dfrac{1}{2}[/tex]

[tex]\dfrac{4}{5}[/tex]x+[tex]\dfrac{3}{2}[/tex]=[tex]\dfrac{1}{10}[/tex]x+[tex]\dfrac{39}{2}[/tex]

[tex]\dfrac{8x+15}{10}[/tex]=[tex]\dfrac{x+195}{10}[/tex]

10(8x+15)=10(x+195)

80x+150=10x+1950

80x-10x=1950-150

70x=1800

x=[tex]\dfrac{1800}{70}[/tex]=[tex]\dfrac{180}{7}[/tex]