What is the value of x in the equation 1/3 x - 1/2 = 18 1/2

X/3-1/2=18+1/2

x/3=19

x=57

x=57

Step-by-step explanation:

1/3x - 1/2 = 18 1/2

first, combine 1/3 and x to get x/3

then, convert 18 1/2 into an improper fraction.

x/3 - 1/2 = 37/2

next, we need to isolate the variable by adding 1/2 to both sides

x/3 = (1+37) / 2

x/3 = 38/2

x/3 = 19

now, we have to do the opposite of what's happening to the variable, so since the variable is in a fraction we multiply both sides by 3 to isolate x

3 (x/3) = 3 (19)

x=57