Question 118274
When you have a problem with fractions, such as you have here, consider clearing the fractions by multiplying the entire equation by the LCD.
{{{(8r/5)-2 = (3r/10)+8}}} Multiply both sides by 10, the LCD.
{{{10((8r/5)-2) = 10((3r/10)+8)}}} Simplify.
{{{16r-20 = 3r+80}}} Subtract 3r from both sides.
{{{13r-20 = 80}}} Add 20 to both sides.
{{{13r = 100}}} Divide both sides by 13.
{{{r = 100/13}}}