7/22 х + 1/3(х-7/22 х) + 25 = х

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вопрос

To solve this equation, we need to simplify and then isolate the variable x.

First, let's simplify the expression on the left side of the equation:

7/22 x + 1/3(x - 7/22 x) + 25 = x
7/22 x + 1/3(x) - 1/3(7/22 x) + 25 = x
7/22 x + 1/3 x - 7/66 x + 25 = x
(7/22 + 1/3 - 7/66) x + 25 = x
(21/66 + 22/66 - 7/66) x + 25 = x
(36/66) x + 25 = x
(6/11) x + 25 = x

Now, let's isolate the variable x by moving the terms without x to the other side of the equation:

(6/11) x + 25 = x
(6/11) x - x = -25
(6/11 - 11/11) x = -25
(-5/11) x = -25
x = (-25) / (-5/11)
x = 55

Therefore, the solution to the equation is x = 55.