[tex]\displaystyle \frac{x+1}2+ \frac{x+1}4+ \frac{x+1}5=1\\ \\
Inmultim~partile~cu~c.m.m.m.c~al~2,4,5~pentru~a~scapa~de~fractie\\ \\
C.m.m.m.c~(2,4,5)=20\\ \\
Dupa~inmultire:\\ \\
10\times(x+1)+5\times(x+1)+4\times(x+1)=20\\ \\
10\times x+10+5\times x+5+4\times x+4=20\\ \\
19\times x+19=20\\ \\
19\times x=1\\ \\
x=\frac 1{19}\\ \\
S=\{ \frac{1}{19} \}[/tex]