Question 1068000
Three fourths of a number decreased by 2 is three times the number.
{{{3/4}}}n - 2 = 3n
multiply equation by 4, get rid of the fraction
3n - 4(2) = 4(3n)
3n - 8 = 12n
-8 = 12n - 3n
-8 = 9n
n = {{{-8/9}}} is the number.
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Check this in the original equation
{{{3/4}}}({{{-8/9}}}) - 2 = 3({{{-8/9}}}
{{{-24/36}}} - 2 = {{{-8/3}}}
use a common denominator
{{{-2/3}}} - {{{6/3}}} = {{{8/3}}} confirms our soluton