At what x is the value of expression (x-2) / 3 by 2 more than the value of expression (x-3) / 2.

It is necessary to subtract the smaller expression (x – 3) / 2 from the larger expression (x – 2) / 3 and you should get 2;

(x – 2) / 3 – (x – 3) / 2 = 2 – bring the fractions to a common denominator 6; additional factor for the first fraction is 2, for the second fraction is 3;

(2 * (x – 2)) / 6 – (3 * (x – 3)) / 6 = 2 – replace the number 2 with the fraction 12/6;

(2x – 4 – (3x – 9)) / 6 = 12/6;

2x – 4 – 3x + 9) / 6 = 12/6 – fractions with the same denominator are equal if their numerators are equal;

2x – 4 – 3x + 9 = 12;

-x + 5 = 12;

-x = 12 – 5;

-x = 7;

x = – 7.

Answer. – 7.