Question

2 2/3:x+1/3=1 1/2:x-1 1/8

Answer 1

8/3:x+1/3= 3/2:x-9/8
8/3:x-3/2:x=-9/8-1/3                 x≠0   I*x
8/3-3/2= x*(-9/8-1/3)
16/6-9/6= x*(-27/24-8/24)
7/6= x*(-35/24)
7/6:(-35/24)=x
7/6*(-24/35)=x
x= -4/5 или -0,8

Answer 2

$2 \frac{2}{3} \div x + \frac{1}{3} = 1.5 \div x - 1 \frac{1}{8}$
$\frac{2 \frac{2}{3} }{x} - \frac{1.5}{x} = - 1 \frac{3}{24} - \frac{8}{24} = - 1 \frac{11}{24} \\ \frac{ 2\frac{20}{30} }{x} - \frac{1 \frac{15}{30} }{x} = - 1 \frac{11}{24} \\ \frac{1 \frac{1}{6} }{x} = - 1 \frac{11}{24} \\ x = - \frac{7}{6} \times \frac{24}{35} \\ x = - \frac{4}{5} \\ x = - 0.8$