Convert mixed numbers to improper fractions:
19 8/19 = 369/19
8 191/228 = 2027/228
Equation becomes: 369/19 - x = 2027/228
Find a common denominator (228):
369/19 = (369 * 12) / (19 * 12) = 4428/228
Equation becomes: 4428/228 - x = 2027/228
Solve for x:
x = 4428/228 - 2027/228
x = 2401/228
Simplify the fraction (divide by 7):
x = 343/228
Convert back to a mixed number:
x = 1 115/228