Question

2/3×(4х-1)=2х+ 1 1/3​

Answer 1

Ответ:

13/2

Пошаговое объяснение:

Answer 2

Let's solve the equation step by step:

1. Start with the given equation:

   2/3 * (4x - 1) = 2x + 1 1/3

2. First, let's simplify the right side of the equation, 1 1/3, to an improper fraction:

   1 1/3 = 4/3

3. Now, we have:

   2/3 * (4x - 1) = 2x + 4/3

4. Next, distribute the 2/3 to both terms inside the parentheses:

   (2/3) * 4x - (2/3) * 1 = 2x + 4/3

   (8/3)x - 2/3 = 2x + 4/3

5. To get rid of the fractions, you can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 3:

   3 * [(8/3)x - 2/3] = 3 * (2x + 4/3)

   (8x - 2) = 6x + 4

6. Now, let's isolate the variable x. Start by moving the 6x to the left side by subtracting it from both sides:

   8x - 6x - 2 = 4

   2x - 2 = 4

7. Add 2 to both sides to isolate 2x:

   2x - 2 + 2 = 4 + 2

   2x = 6

8. Finally, divide both sides by 2 to solve for x:

   (2x)/2 = 6/2

   x = 3

So, the solution to the equation is x = 3.