7/24x + 7 2/3 = 11 5/8

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вопрос

To solve for x, we first need to convert the mixed numbers to improper fractions:

7 2/3 = (37 + 2)/3 = 23/3
11 5/8 = (811 + 5)/8 = 93/8

The equation now becomes:

7/24x + 23/3 = 93/8

To get rid of the fraction, we need to find a common denominator, which in this case is 24. Multiply each term by 24:

24(7/24x) + 24(23/3) = 24(93/8)
7x + 184 = 279

Now, solve for x:

7x = 279 - 184
7x = 95
x = 95/7
x = 13.57

Therefore, x is equal to 13.57.