Question

2*(x-2 1/10)+4 1/5=5 1/3​

Answer 1

Ответ:

Решение уравнений.

Ответ во вложении.

Answer 2

To solve the equation, we need to find the value of 'x'. Let's start by simplifying the equation step by step:

1. First, distribute the 2 to both terms inside the parentheses: 2*(x - 2 1/10) = 2x - 2*(2 1/10) = 2x - 4 2/10 = 2x - 4 1/5

2. Now, the equation becomes: 2x - 4 1/5 + 4 1/5 = 5 1/3

3. Combine the constant terms on the left side of the equation: 2x - 4 1/5 + 4 1/5 = 2x = 5 1/3

4. To isolate 'x', we need to get rid of the constant term on the left side. Add 4 1/5 to both sides of the equation: 2x = 5 1/3 + 4 1/5

5. Convert both fractions to a common denominator, which is 15: 5 1/3 = 5 + 1/3 = 5 + 5/15 = 5 5/15 4 1/5 = 4 + 1/5 = 4 + 3/15

6. Now, the equation becomes: 2x = 5 5/15 + 4 3/15

7. Combine the fractions on the right side of the equation: 2x = 9 8/15

8. Finally, to find 'x', divide both sides of the equation by 2: x = (9 8/15) / 2

To simplify the fraction on the right side further, we can rewrite the mixed number as an improper fraction:

x = (9 * 15 + 8) / 15 = (135 + 8) / 15 = 143 / 15

Therefore, the solution for 'x' is:

x = 143 / 15 or approximately 9.5333.