Question

-2,8x-0,4(3x-6)= -0,5 (4x+6)

Answer 1

Ответ:

x = 2,7

Пошагово-2,8x-0,4(3x-6)= -0,5 (4x+6)

-2,8x - 1,2x + 2,4 = -2x - 3

-4x + 2,4 = -2x - 3

-4x + 2x = -3 - 2,4

-2x = -5,4

x = 2,7

Подробное решение:

1. Раскрываем скобки:

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

-4x + 2,4 = -2x - 3

2. Переносим все x на одну сторону уравнения, а все числа на другую:

-4x + 2,4 + 2x = -3

-2x + 2,4 = -3

3. Вычитаем из обеих частей уравнения число 2,4:

-2x = -3 - 2,4

-2x = -5,4

4. Делим обе части уравнения на -2:

x = 2,7

Ответ: x = 2,7

Answer 2

To solve the equation -2.8x - 0.4(3x - 6) = -0.5(4x + 6), you can follow these steps:

1. Distribute the constants on both sides of the equation:

-2.8x - 1.2x + 2.4 = -2x - 3

2. Combine like terms on both sides of the equation:

-4x + 2.4 = -2x - 3

3. Move the variable terms (terms with x) to one side of the equation and the constant terms to the other side. You can do this by adding 4x to both sides and subtracting 2.4 from both sides:

-4x + 4x + 2.4 = -2x + 4x - 3 - 2.4

This simplifies to:

2.4 = 2x - 3

4. Now, add 3 to both sides of the equation:

2.4 + 3 = 2x - 3 + 3

This simplifies to:

5.4 = 2x

5. To isolate x, divide both sides by 2:

(5.4)/2 = (2x)/2

2.7 = x

So, the solution to the equation is:

x = 2.7