Question

5/6x+1/9-(5-1/2x)=4/9-1/3x

Answer 1

Ответ 5/16
Я не очень разобрался где у тебя х стоит, поэтому я поставил его в знаменатель, как сделал ты)

Answer 2

To solve the equation:

(5/6)x + (1/9) - (5 - (1/2)x) = (4/9) - (1/3)x

You can start by simplifying and rearranging the equation to isolate the variable x on one side. Here are the steps:

1. Distribute the negative sign on the left side of the equation:

(5/6)x + (1/9) - 5 + (1/2)x = (4/9) - (1/3)x

2. Combine like terms on the left side:

[(5/6)x + (1/2)x] + (1/9) - 5 = (4/9) - (1/3)x

3. To add the fractions with different denominators, find a common denominator. In this case, the common denominator is 18:

[(15/18)x + (9/18)x] + (2/18) - 5 = (8/18) - (6/18)x

4. Combine the x terms:

[(24/18)x] + (2/18) - 5 = (8/18) - (6/18)x

5. Now, subtract (6/18)x from both sides of the equation to isolate the x terms on the left side:

(24/18)x + (2/18) - 5 + (6/18)x = (8/18) - (6/18)x + (6/18)x

6. Combine the x terms on the left side:

[(24/18)x + (6/18)x] + (2/18) - 5 = (8/18)

7. Further combine like terms:

(30/18)x + (2/18) - 5 = (8/18)

8. Simplify fractions:

(5/3)x + (1/9) - 5 = (4/9)

9. Add 5 to both sides:

(5/3)x + (1/9) - 5 + 5 = (4/9) + 5

10. Simplify:

(5/3)x + (1/9) = (4/9) + (45/9)

11. Combine fractions on the right side:

(5/3)x + (1/9) = (49/9)

12. Subtract (1/9) from both sides:

(5/3)x + (1/9) - (1/9) = (49/9) - (1/9)

13. Simplify:

(5/3)x = (48/9)

14. Divide both sides by (5/3) to solve for x:

[(5/3)x] / (5/3) = (48/9) / (5/3)

15. Simplify by multiplying both sides by the reciprocal of (5/3), which is (3/5):

x = (48/9) * (3/5)

16. Simplify further:

x = (16/3) * (3/5)

x = (16/5)

So, the solution to the equation is:

x = 16/5 or x = 3.2