Question

3/2(5x-2)-5=1/3(x+4)+5/2(x+2)​

Answer 1

Мой ответ на фото всё расписано

Answer 2

To solve the equation, let's simplify both sides step by step:

1. Distribute the multiplication: 3/2(5x - 2) - 5 = 1/3(x + 4) + 5/2(x + 2) (15/2)x - 3 - 5 = (1/3)x + 4/3 + (5/2)x + 5

2. Combine like terms on each side: (15/2)x - 8 = (1/3)x + (5/2)x + 4/3 + 5

3. Combine the fractions: (15/2)x - 8 = (1/3)x + (15/2)x + (4/3) + (5/1)

4. Get a common denominator for the fractions: (15/2)x - 8 = (2/6)x + (45/6)x + (8/6) + (30/6)

5. Simplify the fractions: (15/2)x - 8 = (47/6)x + (38/6)

6. To eliminate the fractions, we can multiply every term by 6 to clear the denominators: 6 * [(15/2)x - 8] = 6 * [(47/6)x + (38/6)]

7. Simplify both sides: 45x - 48 = 47x + 38

8. Move the variables to one side and the constants to the other side: 45x - 47x = 38 + 48 -2x = 86

9. Divide by -2 to solve for x: x = 86 / -2 x = -43

Therefore, the solution to the equation is x = -43.