Calculate 2 (4x+3) / 5 - 6 (x-2) / 2 = 1/2

(8x + 6) / 5 - (6x - 12) / 2 = 1 / 2;

(16x + 12) / 10 - (30x - 60) / 10 = 5 / 10;

16x + 12 - 30x + 60 = 5;

- 14x + 72 = 5;

- 14x = - 67;

x = 67 / 14 = 4.78;

Multiply both sdies by 10 to get rid of the fractions

20 (4x+3) / 5-60 (x-2) / 2=5

4 (4x+3) - 30 (x-2) = 5

distribute

16x+12-30x+60=5

add like terms

-14x+72=5

subtract 72 from both sdies

-14x=-67

multiplyh - 1

14x=67

divide both sdies by 14

x=67/14