Question

2 5/7+2 4/17х+2 5/17+х=8

Answer 1

$\frac{10}{7} + \frac{8}{17} x + \frac{10}{17} + x = 8 \\ \frac{240}{119} + \frac{8}{17} x + x = 8 \\ 240 + 56x + 119x = 952 \\ 240 + 175x = 952 \\ 175x = 952 - 240 \\ 175x = 712 \\ x = \frac{712}{175} = 4 \frac{12}{175}$

Answer 2

To solve the equation, we need to find the value of 'x'. Let's first simplify the left-hand side of the equation:

2 5/7 + 2 4/17 * x + 2 5/17 + x = 8

Step 1: Convert mixed numbers to improper fractions. 2 5/7 can be written as (2 * 7 + 5)/7 = 19/7 2 4/17 can be written as (2 * 17 + 4)/17 = 38/17 2 5/17 can be written as (2 * 17 + 5)/17 = 39/17

So, the equation becomes:

19/7 + 38/17 * x + 39/17 + x = 8

Step 2: Combine the terms with 'x'.

(38/17 + 1) * x + (19/7 + 39/17) = 8

Step 3: Find a common denominator for the fractions.

The common denominator for 17 and 7 is 119.

Step 4: Convert the fractions to have the common denominator.

(38/17 + 1) * x + (19/7 + 39/17) = 8

(38/17 + 17/17) * x + (19/7 + 7*39/119) = 8

(55/17) * x + (19/7 + 273/119) = 8

Step 5: Simplify the fractions.

(55/17) * x + (19/7 + 39/7) = 8

(55/17) * x + (58/7) = 8

Step 6: Move the constant term to the right side.

(55/17) * x = 8 - 58/7

Step 7: Calculate the right side.

(55/17) * x = (56 - 58)/7

(55/17) * x = -2/7

Step 8: Solve for 'x'.

x = (-2/7) * (17/55)

x = -2/55

So, the value of 'x' that satisfies the equation is -2/55.