Question

2,5(0,6х-1,4)=-3,8(1,5х-0,8)+7,86​

Answer 1

Ответ:

x=2

Пошаговое объяснение:

$2,5(0,6x-1,4)=-3,8(1,5x-0,8)+7,86\\1.5x-3.5=-5.7x+3.04+7.86\\1.5x-3.5+5.7x-3.04-7.86=0\\\\\\7.2x-14.4=0\\7.2x=14.4\\x=2$

Answer 2

To solve the equation 2.5(0.6x - 1.4) = -3.8(1.5x - 0.8) + 7.86, we can follow these steps:

1. Distribute the coefficients inside the parentheses: 1.5x - 0.8 becomes 1.5 * x - 1.5 * 0.8 = 1.5x - 1.2 0.6x - 1.4 remains the same.

The equation becomes: 2.5(0.6x - 1.4) = -3.8(1.5x - 0.8) + 7.86

2. Simplify both sides of the equation: On the left side: 2.5 * 0.6x = 1.5x 2.5 * (-1.4) = -3.5

   On the right side: -3.8 * 1.5x = -5.7x -3.8 * (-0.8) = 3.04

The equation becomes: 1.5x - 3.5 = -5.7x + 3.04 + 7.86

3. Combine like terms: On the right side: 3.04 + 7.86 = 10.9

The equation becomes: 1.5x - 3.5 = -5.7x + 10.9

4. Move all the terms with x to one side of the equation: Add 5.7x to both sides: 1.5x + 5.7x - 3.5 = -5.7x + 5.7x + 10.9

Simplifying further, we have: 7.2x - 3.5 = 10.9

5. Move the constant term to the other side of the equation: Add 3.5 to both sides: 7.2x - 3.5 + 3.5 = 10.9 + 3.5

Simplifying further, we have: 7.2x = 14.4

6. Solve for x by dividing both sides by 7.2: (7.2x) / 7.2 = 14.4 / 7.2

Simplifying further, we have: x = 2

Therefore, the solution to the equation 2.5(0.6x - 1.4) = -3.8(1.5x - 0.8) + 7.86 is x = 2.