The sum (addition) of one-half (\(\frac{1}{2}\)) and four (4) times (multiplication) a number (n) is equal to (=) five-sixths (\(\frac{5}{6}\)) subtracted from (subtraction) five (5) times (multiplication) the same number (n).
\(\frac{1}{2}\) + 4n = 5n - \(\frac{5}{6}\) Multiply both sides by 6
\(\frac{6}{2}\) + 4n = 5n - 5 Simplify the fraction
3 + 4n = 5n - 5 Subtract 5n from both sides
3 - n = -5 Subtract 3 from both sides
-n = -8 Divide both sides by -1
n = 8
