X+(28 7/8 - x) + (24 3/4 - x) = 36 9/16

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вопрос

To solve for x, we first simplify the equation:

X + 28 7/8 - x + 24 3/4 - x = 36 9/16

Combine like terms:

X - x - x = -2x
28 7/8 + 24 3/4 = 53 31/8

Now substitute back into the equation:

-2x + 53 31/8 = 36 9/16

Subtract 53 31/8 from both sides:

-2x = 36 9/16 - 53 31/8
-2x = 36 9/16 - 53 31/8
-2x = 36 9/16 - 53 31/8

Convert 36 9/16 to 578/16
Convert 53 31/8 to 429/8

-2x = 578/16 - 429/8

Now, find a common denominator to subtract the fractions:

-2x = (578/16)(2/2) - 429/8
-2x = 1156/32 - 429/8
-2x = 1156/32 - 1716/32
-2x = -560/32
-2x = -35
x = -35 / (-2)
x = 17.5

Therefore, the value of x is 17.5.