To solve this equation, we first need to find the value of the expression on the left side of the equation:
(х-2) + 7/8 + 3 + 5/6 = 4 + 5/6
Combine the constants and fractions on the left side:
х - 2 + 3 + 7/8 + 5/6 = 4 + 5/6х + 1 + 7/8 + 5/6 = 4 + 5/6
Find a common denominator for the fractions:
х + 1 + 21/24 + 20/24 = 24/6 + 20/24х + 1 + 41/24 = 24/6 + 20/24
Combine the fractions:
х + 1 + 41/24 = 4 + 5/6
Convert 4 to a fraction with a common denominator of 24:
х + 1 + 41/24 = 24/6 + 20/24х + 1 + 41/24 = 96/24 + 20/24х + 1 + 41/24 = 116/24
Subtract 1 from both sides:
х + 41/24 = 116/24 - 1х + 41/24 = 115/24
Subtract 41/24 from both sides:
х = 115/24 - 41/24х = 74/24х = 37/12
Therefore, the solution to the equation is x = 37/12.
To solve this equation, we first need to find the value of the expression on the left side of the equation:
(х-2) + 7/8 + 3 + 5/6 = 4 + 5/6
Combine the constants and fractions on the left side:
х - 2 + 3 + 7/8 + 5/6 = 4 + 5/6
х + 1 + 7/8 + 5/6 = 4 + 5/6
Find a common denominator for the fractions:
х + 1 + 21/24 + 20/24 = 24/6 + 20/24
х + 1 + 41/24 = 24/6 + 20/24
Combine the fractions:
х + 1 + 41/24 = 4 + 5/6
Convert 4 to a fraction with a common denominator of 24:
х + 1 + 41/24 = 24/6 + 20/24
х + 1 + 41/24 = 96/24 + 20/24
х + 1 + 41/24 = 116/24
Subtract 1 from both sides:
х + 41/24 = 116/24 - 1
х + 41/24 = 115/24
Subtract 41/24 from both sides:
х = 115/24 - 41/24
х = 74/24
х = 37/12
Therefore, the solution to the equation is x = 37/12.