a)[tex] \frac{2}{3}x+ \frac{1}{2} =- \frac{1}{6} \\ \frac{4}{6} x+ \frac{3}{6} =- \frac{1}{6} \\ \\ 4x+3=-1 \\ 4x=-4 \\ x=-1 [/tex]
b)[tex] \frac{3}{5} x+ \frac{1}{10}=- \frac{1}{2} \\ \frac{6}{10} x+ \frac{1}{10} =- \frac{5}{10} \\ 6x+1=-5 \\ 6x=-6 \\ x=-1[/tex]
c)[tex] \frac{1}{2}x +2=0,(2) \\ \frac{1}{2}x+2= \frac{2}{10} \\ \frac{5}{10}x + \frac{20}{10}= \frac{2}{10} \\ 5x+20=2 \\ 5x=-18 \\ x=- \frac{18}{5} [/tex]
d)[tex] \frac{3}{5}x- \frac{1}{6} =- \frac{2}{3} \\ 3* 6x-1*5=-2*10 \\
18x-5=-20 \\ 18x=-15 \\ x=- \frac{15}{18} \\ x=- \frac{5}{6} [/tex]
e)[tex] \frac{2}{7}x- \frac{1}{49} = \frac{1}{14} \\ 2*14x-1*2=1*7 \\ 28x-2=7 \\ 28x=9 \\ x= \frac{9}{28} [/tex]
f)[tex] \frac{2}{17} x-1=1 \frac{49}{51} \\ 2*3x-51=51+49 \\
6x-51=100 \\ 6x=151 \\ x= \frac{151}{6} [/tex]
