Question

Решите 10x-(5+2x)=7x-2

Answer 1

$10x-(5+2x)=7x-2\\10x-5-2x=7x-2|-7x;+5\\(8-7)x=x=5-2=3\\Otvet:x=3$

Answer 2

10x - (5 + 2x) = 7x - 2

Раскроем скобки

10x - 5 - 2x = 7x - 2

Перенесём неизвестные части влево, известные - вправо, поменяв при этом их знаки на противоположные (имеется ввиду перенос за знак "равно")

10x - 2x - 7x = 5 - 2

x = 3

Ответ: 3

Answer 3

To solve the equation, we need to isolate the variable x on one side of the equation. Here's the step-by-step solution:

1. Distribute the negative sign on the left side of the equation: 10x - 5 - 2x = 7x - 2

2. Combine like terms on both sides: (10x - 2x) - 5 = 7x - 2

3. Simplify: 8x - 5 = 7x - 2

4. Move the variable terms to one side by subtracting 7x from both sides: 8x - 7x - 5 = 7x - 7x - 2

5. Simplify further: (8x - 7x) - 5 = -2

6. Combine like terms: x - 5 = -2

7. Now, isolate the variable x by adding 5 to both sides: x - 5 + 5 = -2 + 5

8. Simplify: x = 3

The solution to the equation is x = 3.