Question

41*4/10(14/23х+5/9)-79*8/10(8/19х-5/6)=76*9/10

Answer 1

Ответ: x = 1,5

Пошаговое объяснение:

решение на фотографии

Answer 2

To solve the given equation, let's break it down step by step:

1. Start by simplifying the equation: 41 * 4 / 10 * (14 / 23 * x + 5 / 9) - 79 * 8 / 10 * (8 / 19 * x - 5 / 6) = 76 * 9 / 10

2. Simplify the fractions inside the parentheses: 41 * 4 / 10 * (14x / 23 + 5 / 9) - 79 * 8 / 10 * (8x / 19 - 5 / 6) = 76 * 9 / 10

3. Simplify the fractions outside the parentheses: (41 * 4 * (14x / 23 + 5 / 9)) / 10 - (79 * 8 * (8x / 19 - 5 / 6)) / 10 = 76 * 9 / 10

4. Simplify further inside the parentheses: (164 * (14x / 23 + 5 / 9)) / 10 - (632 * (8x / 19 - 5 / 6)) / 10 = 76 * 9 / 10

5. Distribute the multiplication inside the parentheses: (164 * (14x) / 23 + 164 * (5 / 9)) / 10 - (632 * (8x) / 19 - 632 * (5 / 6)) / 10 = 76 * 9 / 10

6. Simplify the fractions: (2296x / 23 + 820 / 9) / 10 - (5056x / 19 - 52720 / 6) / 10 = 76 * 9 / 10

7. Multiply through by 10 to eliminate the denominators: (2296x / 23 + 820 / 9) - (5056x / 19 - 52720 / 6) = 76 * 9

8. Multiply out the remaining terms: 2296x / 23 + 820 / 9 - 5056x / 19 + 52720 / 6 = 76 * 9

9. Find a common denominator for the fractions: [(2296x * 19) / (23 * 19)] + [(820 * 6) / (9 * 6)] - [(5056x * 23) / (19 * 23)] + [(52720 * 23) / (6 * 23)] = 76 * 9

10. Simplify the terms with the common denominator: [(2296x * 19) / (23 * 19)] + [(820 * 6) / (9 * 6)] - [(5056x * 23) / (19 * 23)] + [(52720 * 23) / (6 * 23)] = 76 * 9

11. Cancel out common factors: [2296x + 820 / 3 - 5056x + 52720 / 3] = 76 * 9

12. Combine like terms: [-2760x + (22960 + 52720) / 3] = 76 * 9

13. Simplify further: -2760x + 75680 / 3 = 76 * 9

14. Multiply both sides by 3 to eliminate the fraction: -2760x + 75680 = 76 *