Question

5,4-(4,1х+2,5)=6,8-0,2х

Answer 1

Раскроем скобки и решим уравнение:

5,4 - 4,1х - 2,5 = 6,8 - 0,2х

4,1х - 0,2х = 5,4 - 2,5 - 6,8

3,9х = - 3,9

х = - 3,9 : 3,9

х = - 1

- - - - - - - - - - - -

Проверка:

5,4 - (-4,1 + 2,5) = 6,8 + 0,2

5,4 + 1,6 = 7

7 = 7

Answer 2

Ответ:

Пошаговое объяснение:

5,4-4,1x-2,5=6,8-0,2x

2,9-4,1x=6,8-0,2x

-4,1x+0,2x=6,8-2,9

-3,9x=3,9

X=-1

Answer 3

To solve the equation, we'll first simplify both sides and then isolate the variable 'x'. Let's start by performing the operations step-by-step:

1. Distribute the negative sign on the left side: 5 - 4 - (4.1x + 2.5) = 6.8 - 0.2x

2. Combine like terms on the left side: 1 - (4.1x + 2.5) = 6.8 - 0.2x

3. Remove the parentheses using the distributive property (distribute the negative sign inside): 1 - 4.1x - 2.5 = 6.8 - 0.2x

4. Combine like terms on the left side: -3.1x - 1.5 = 6.8 - 0.2x

5. Now, let's isolate the variable 'x' on one side of the equation. We'll do this by moving all the terms containing 'x' to one side and the constants to the other side. To do that, we'll add 0.2x to both sides of the equation:

   -3.1x - 0.2x - 1.5 = 6.8 - 0.2x + 0.2x

6. Simplify the equation further: -3.3x - 1.5 = 6.8

7. Now, to isolate 'x', we'll move the constant term (-1.5) to the right side of the equation by adding 1.5 to both sides:

   -3.3x - 1.5 + 1.5 = 6.8 + 1.5

8. Simplify again: -3.3x = 8.3

9. Finally, divide both sides by -3.3 to solve for 'x': x = 8.3 / -3.3 x ≈ -2.51515151515...

So, the approximate value of 'x' is -2.515.