Question

3) 1,5(3х - 2) + х = 3(0,5х + 2) + 11;

Answer 1

Ответ:

5

Пошаговое объяснение:

1,5* ( 3х - 2 ) + х = 3*( 0,5х + 2 ) + 11

4,5х - 3 +х = 1,5х + 6 +11

5,5х - 3 = 1,5х +17

5,5х - 1,5х = 17 +3

4х = 20

х = 20 : 4

х = 5

Проверка :

1,5 * ( 3*5 - 2 ) + 5 = 3*( 0,5 * 5 + 2 ) + 11

1,5 * ( 15 -2) + 5 =3*( 2,5 +2)+11

1,5 * 13 + 5 = 3 * 4,5 + 11

24,5 = 24, 5

получили верное равенство

Answer 2

To solve the equation 1.5(3x - 2) + x = 3(0.5x + 2) + 11, you'll need to simplify and isolate the variable x. Here are the steps to solve it:

1. Distribute the constants on the left and right sides of the equation:

   4.5x - 3 + x = 1.5x + 6 + 11

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

   4.5x + x - 3 = 1.5x + 17

3. Add 3 to both sides to get rid of the -3 on the left side:

   4.5x + x = 1.5x + 17 + 3

4. Combine like terms again:

   5.5x = 1.5x + 20

5. Now, subtract 1.5x from both sides to isolate the x terms on one side:

   5.5x - 1.5x = 20

6. Simplify the left side of the equation:

   4x = 20

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

   x = 20 / 4 x = 5

So, the solution to the equation is x = 5.