To solve this equation, we need to first simplify both sides by converting the mixed numbers to improper fractions:
Left side:(x - 2 7/8) = (x - 23/8)
Right side:3 5/6 = 23/6
Now we can rewrite the equation:
(x - 23/8) + 23/6 = 14/3
Next, we need to find a common denominator for the fractions on the left side:
(x 6/6 - 23/8 6/6) + 23/6 = 14/3(6x/6 - 138/48) + 23/6 = 14/3
Now, we can combine the fractions on the left side:
(6x - 138 + 184) / 48 = 14/3(6x + 46) / 48 = 14/3
To solve for x, we can cross multiply:
3(6x + 46) = 14(48)18x + 138 = 67218x = 534x = 534/18x = 297/8
Therefore, the solution to the equation (x - 2 7/8) + 3 5/6 = 4 2/3 is x = 297/8.
To solve this equation, we need to first simplify both sides by converting the mixed numbers to improper fractions:
Left side:
(x - 2 7/8) = (x - 23/8)
Right side:
3 5/6 = 23/6
Now we can rewrite the equation:
(x - 23/8) + 23/6 = 14/3
Next, we need to find a common denominator for the fractions on the left side:
(x 6/6 - 23/8 6/6) + 23/6 = 14/3
(6x/6 - 138/48) + 23/6 = 14/3
Now, we can combine the fractions on the left side:
(6x - 138 + 184) / 48 = 14/3
(6x + 46) / 48 = 14/3
To solve for x, we can cross multiply:
3(6x + 46) = 14(48)
18x + 138 = 672
18x = 534
x = 534/18
x = 297/8
Therefore, the solution to the equation (x - 2 7/8) + 3 5/6 = 4 2/3 is x = 297/8.