Question

The sum of one half and four times a number is equal to five sixths subtracted from five times the number. Find the number.

Answer 1

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