a)
[tex]\frac{x}{4}=\frac{3}{5}\\\\5x=12\\\\x=\frac{12}{5}\\\\x=2\frac{2}{5}[/tex]
b)
[tex]\frac{x+5}{3}=\frac{x}{2}\\\\2(x+5)=3x\\\\2x+10=3x\\\\2x-3x=-10\\\\-x=-10\\\\x=10[/tex]
c)
[tex]\frac{6-2x}{5}-\frac{3x+2}{-2}=5,5\\\\\frac{6-2x}{5}+\frac{3x+2}{2}=\frac{11}{2}\\\\2(6-2x)+5(3x+2)=55\\\\12-4x+15x+10=55\\\\22+11x=55\\\\11x=55-22\\\\11x=33\\\\x=3[/tex]
d)
[tex]\frac{5x-2}{2}+\frac{3x-7}{6}=\frac{1}{2}\\\\3(5x-2)+3x-7=3\\\\15x-6+3x-7=3\\\\18x-13=3\\\\18x=3+13\\\\18x=16\\\\x=\frac{8}{9}[/tex]
