4,25 + 1 11|12 - 5 7\11 14 2\5 - 33\4 + 8 7/15 - 5 7\11 ( х - 7/6 ) + 3 11/24 = 5 11/12

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вопрос

To solve this equation, we need to simplify the expression first.

4,25 + 1 11|12 - 5 7\11
= 4 + 0.25 + 1 + 11/12 - 5 - 7/11
= 5.25 + 1 + 11/12 - 5 - 7/11
= 6.25 + 11/12 - 5 - 7/11
= 6.25 + 11/12 - 60/12 - 77/12
= 6.25 - 49/12
= 6.25 - 4.08333
= 2.16667

14 2\5 - 33\4 + 8 7/15 - 5 7\11
= 14 + 2/5 - 33/4 + 8 + 7/15 - 5 - 7/11
= 14.4 - 8.25 + 8.46667 - 5.63636
= 6.15

Now the equation becomes:
2.16667 - 6.15 + (x - 7/6) + 3 11/24 = 5 11/12

Subtract 6.15 from 2.16667:
2.16667 - 6.15 = -3.98333

Now the equation becomes:
-3.98333 + (x - 7/6) + 3 11/24 = 5 11/12

Convert 3 11/24 to a mixed fraction:
3 11/24 = 3 + 11/24 = 3.45833

Now the equation becomes:
-3.98333 + (x - 7/6) + 3.45833 = 5 11/12

Add -3.98333 and 3.45833:
-3.98333 + 3.45833 = -0.525

Now the equation becomes:
-0.525 + (x - 7/6) = 5 11/12

To isolate x, let's solve for (x - 7/6):

x - 7/6 = 5 11/12 + 0.525

Convert 5 11/12 to an improper fraction:
5 11/12 = (5*12 + 11)/12 = 71/12

Add 71/12 and 0.525:
71/12 + 0.525 = 71/12 + 63/120 = (71*10 + 63)/120 = 783/120 = 6.525

Now the equation becomes:
x - 7/6 = 6.525

Add 7/6 on both sides to solve for x:
x = 6.525 + 7/6
x = 6.525 + 1.16667
x = 7.69167

Therefore, the solution to the equation is x = 7.69167.