Question

2(x-3)-3(4-x)=5. :::::::::::::|><€<>

Answer 1

Пошаговое объяснение:

2 * (х - 3) = 3 * (4 - х) + 5,

упростим левую и правую части уравнения и получим:

2х - 2 * 3 = 3 * 4 - 3х + 5,

2х - 6 = 12 - 3х + 5,

2х - 6 = 17 - 3х.

Перенесем члены уравнения и получим:

2х + 3х = 17 + 6,

5х = 23,

х =23 : 5,

х = 4,6.

Проверка:

2 * (4,6 - 3) = 3 * (4 - 4,6) + 5,

2 * 1,6 = 3 * (-0,6) + 5,

3,2 = -1,8 + 5,

3,2 = 3,2, верно.

Значит, уравнение решено правильно, корнем уравнения является х = 4,6.

Ответ: х = 4,6.

Answer 2

To solve the equation 2(x-3) - 3(4-x) = 5, you can follow these steps:

1. Distribute the constants (2 and -3) to the terms inside the parentheses:

2(x) - 2(3) - 3(4) + 3(x) = 5

2x - 6 - 12 + 3x = 5

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

2x + 3x - 6 - 12 = 5

5x - 18 = 5

3. Add 18 to both sides of the equation to isolate the variable term:

5x - 18 + 18 = 5 + 18

5x = 23

4. Finally, divide both sides by 5 to solve for x:

5x/5 = 23/5

x = 23/5

So, the solution to the equation is:

x = 23/5