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