Question

2x - 6 = 11 - 3x 3x - 3 = 4 - 2x 1,2x - 0,6 = 0,8x - 26 6x - 18 = 5x + 4 5,3x - 6 = 2x + 7 6,3 - (x - 1) = 4x + 3 7,4x - 2 = -14

Answer 1

1) 3x - 3 = 4 - 2x

5x = 7

x = 7/5

2) 1.2x - 0.6 = 0.8x - 26

0.4x = -25.4

x = -63.5

3) 6x - 18 = 5x + 4

x = 22

4) 5.3x - 6 = 2x + 7

3.3x = 13

x = 13/3.3

5) 6.3 - (x - 1) = 4x + 3

6.3 - x + 1 = 4x + 3

-5x = -4.3

x = 4.3/5

6) 7.4x - 2 = -14

7.4x = -12

x = -12/7.4

Answer 2

Let's solve each equation step by step:

1. 2x - 6 = 11 - 3x

   Add 3x to both sides:

   2x + 3x - 6 = 11

   Combine like terms:

   5x - 6 = 11

   Add 6 to both sides:

   5x = 17

   Divide by 5:

   x = 17/5

   So, x = 3.4

2. 3x - 3 = 4 - 2x

   Add 2x to both sides:

   3x + 2x - 3 = 4

   Combine like terms:

   5x - 3 = 4

   Add 3 to both sides:

   5x = 7

   Divide by 5:

   x = 7/5

   So, x = 1.4

3. 2x - 0.6 = 0.8x - 26

   Subtract 0.8x from both sides:

   2x - 0.8x - 0.6 = -26

   Combine like terms:

   1.2x - 0.6 = -26

   Add 0.6 to both sides:

   1.2x = -25.4

   Divide by 1.2:

   x = -25.4/1.2

   x ≈ -21.17

4. 6x - 18 = 5x + 4

   Subtract 5x from both sides:

   6x - 5x - 18 = 4

   Combine like terms:

   x - 18 = 4

   Add 18 to both sides:

   x = 22

5. 5.3x - 6 = 2x + 7

   Subtract 2x from both sides:

   5.3x - 2x - 6 = 7

   Combine like terms:

   3.3x - 6 = 7

   Add 6 to both sides:

   3.3x = 13

   Divide by 3.3:

   x ≈ 3.939

6. 6.3 - (x - 1) = 4x + 3

   Distribute the negative sign on the left side:

   6.3 - x + 1 = 4x + 3

   Combine like terms:

   7.3 - x = 4x + 3

   Subtract 3 from both sides:

   7.3 - x - 3 = 4x

   4.3 - x = 4x

   Add x to both sides:

   4.3 = 5x

   Divide by 5:

   x = 4.3/5

   x ≈ 0.86

7. 7.4x - 2 = -14

   Add 2 to both sides:

   7.4x = -12

   Divide by 7.4:

   x ≈ -12/7.4

   x ≈ -1.62

So, the solutions to the given equations are:

1. x = 3.4
2. x = 1.4
3. x ≈ -21.17
4. x = 22
5. x ≈ 3.939
6. x ≈ 0.86
7. x ≈ -1.62