4 3/4 + (x - 5.7) = 5 7/8
Convert mixed numbers to improper fractions:
19/4 + (x - 57/10) = 47/8
Find a common denominator for the fractions:
380/80 + (80x - 456/80) = 470/80
Combine like terms:
(80x - 76)/80 = 470/80
Cross multiply:
80(80x - 76) = 470(80)6400x - 6080 = 37600
Solve for x:
6400x = 43680x = 43/8
Therefore, the solution is x = 43/8.
4 3/4 + (x - 5.7) = 5 7/8
Convert mixed numbers to improper fractions:
19/4 + (x - 57/10) = 47/8
Find a common denominator for the fractions:
380/80 + (80x - 456/80) = 470/80
Combine like terms:
(80x - 76)/80 = 470/80
Cross multiply:
80(80x - 76) = 470(80)
6400x - 6080 = 37600
Solve for x:
6400x = 43680
x = 43/8
Therefore, the solution is x = 43/8.