2×-1/3＝×+5/8-1-×/2пожалуйста 100баллов

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вопрос

To solve this equation, we need to first simplify and combine like terms.

2x - 1/3 = x + 5/8 - 1 - x/2

First, let's simplify the right side:

x + 5/8 - 1 - x/2 = x - x/2 + 5/8 - 1
= 2x/2 - x/2 + 5/8 - 1
= x/2 + 5/8 - 1
= x/2 + 5/8 - 8/8
= x/2 + (5-8)/8
= x/2 - 3/8

Now, substitute this back into the original equation:

2x - 1/3 = x + 5/8 - 1 - x/2

2x - 1/3 = x/2 - 3/8

Now, let's get rid of the denominators by multiplying through by the least common multiple of 3 and 8, which is 24:

24(2x - 1/3) = 24(x/2 - 3/8)

48x - 8 = 12x - 9

48x - 12x = -9 + 8

36x = -1

x = -1/36

Therefore, the solution to the equation is x = -1/36.