Question

8 17/35-(x-5 8/35)=123/35(10 4/13 -x) - 5 11/13 = 3 8/13​

Answer 1

Если правильно поняла запись,то так

Answer 2

To solve the equation:

8 17/35 - (x - 5 8/35) = 123/35(10 4/13 - x) - 5 11/13 = 3 8/13

We'll first simplify both sides of the equation step by step:

1. Start with the left side: 8 17/35 - (x - 5 8/35)

   To subtract (x - 5 8/35) from 8 17/35, you can distribute the negative sign: 8 17/35 - x + 5 8/35

   Combine the whole numbers: (8 + 5) 17/35 - x + 5 8/35

   13 17/35 - x + 5 8/35

2. Move to the right side of the equation: 123/35(10 4/13 - x) - 5 11/13

   First, simplify the expression within the parentheses on the right side: 10 4/13 - x

3. Now, distribute 123/35 to each term within the parentheses: (123/35) * (10 4/13) - (123/35) * x - 5 11/13

   To simplify (123/35) * (10 4/13), you can convert the mixed number to an improper fraction: (123/35) * (133/13) - (123/35) * x - 5 11/13

   Multiply the fractions: (123 * 133) / (35 * 13) - (123/35) * x - 5 11/13

   (16359/455) - (123/35) * x - 5 11/13

4. Now, we can rewrite the equation with the simplified expressions: 13 17/35 - x + 5 8/35 = (16359/455) - (123/35) * x - 5 11/13

5. Let's isolate the terms with 'x' on one side of the equation and the constants on the other side: (13 17/35 + 5 11/13) - x + (123/35) * x = 16359/455 + 5 8/35

6. Now, simplify each side of the equation: (13 17/35 + 5 11/13) is the sum of two mixed numbers. Convert them to improper fractions and then add: ((13 * 35 + 17) / 35 + (5 * 13 + 11) / 13) - x + (123/35) * x = 16359/455 + 5 8/35

   (472/35 + 68/13) - x + (123/35) * x = 16359/455 + 5 8/35

7. Find a common denominator for fractions: ((472 * 13) / (35 * 13) + (68 * 35) / (13 * 35)) - x + (123/35) * x = 16359/455 + 5 8/35

   (6144/455 + 2380/455) - x + (123/35) * x = 16359/455 + 5 8/35

8. Combine the fractions on the left side: (8524/455) - x + (123/35) * x = 16359/455 + 5 8/35

9. Now, let's get rid of the fractions by multiplying both sides by the common denominator, which is 455: 8524 - 455x + 123 * 13x = 16359 + 5 * 13 * 35

10. Continue to simplify and solve for 'x': 8524 - 455x + 1599x = 16359 + 22775

11. Combine like terms: 8524 + 1144x = 39134

12. Subtract 8524 from both sides: 1144x = 39134 - 8524

13. Simplify the right side: 1144x = 30610

14. Divide both sides by 1144 to solve for 'x': x = 30610 / 1144

15. Simplify the fraction: x ≈ 26.7491

So, the solution to the equation is approximately: x ≈ 26.7491