Equation Clock

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Equation

1

Original equation : 

x + 10 = 11

Solving :

x + 10 - 10 = 11 - 10

x = 1

Checking :

LS : = x + 10 = 1 + 10 = 11

RS : = 11

Therefore, x equals to 1

2

Original equation : 

(10x+4) = 12

    2

Solving :

(10x+4) * 2 = 12*2

    2

10x+4 = 24

10x+4-4 = 24-4

10x = 20

10x/10 = 20/10

x = 2

Checking :

LS : = (10x+4)   = (10*2+4) =  24   = 12

                 2                2            2

RS : = 12

Therefore, x equals to 2

3

Original equation : 

x-8+5x-3=3+x

  5      3       2

Solving :

6(x-8)+10(5x-3)=15*(3+x)

  6*5       10*3       15*2

6x-48+50x-30 = 45+15x

          30                 30

56x-78 = 45+15x

   30              30

56x-78 * 30 = 45+15x * 30

   30                   30

56x-78 = 45+15x

56x-15 x -78 = 45 + 15x - 15x

41x - 78 = 45

41x - 78 + 78 = 45 + 78

41x = 123

41x/41 = 123/41

x = 3

Checking :

LS : = x-8+5x-3  = 3-8 + 5*3-3  = -5 + 12 = -1+4 = 3

             5      3         5        3          5      3

RS : = 3+x = 3 + 3 = 6   = 3

             2          2       2

Therefore, x equals 3

4

Original equation : 

5(x-14) + 3(x + 4) = 3x - 38

Solving : 

5x-70+ 3x+12 = 3x - 38

8x-58 = 3x - 38

8x-58-3x = 3x - 38 - 3x

5x-58 = -38

5x-58+58 = -38+58

5x = 20

5x/5 = 20/5

x = 4

Checking :

LS : = 5(x-14) + 3(x+4) = 5(4-14) + 3(4+4) = -50 + 24 = -26

RS : = 3x - 38 = 3*4-38 = 12-38 = -26

Therefore, x equals 4

5

Original equation : 

2x-9 = x-4

Solving: 

2x-9+9 = x-4+9

2x = x+5

2x-x = x+5-x

x = 5

Checking :

LS : = 2x-9 = 2*5-9 = 1

RS : = x-4 = 5-4 = 1

Therefore, x equals 5

6

Original equation : 

x - 10 = -8

3

Solving : 

x - 10 + 10 = -8 + 10

3

x = 2

3

x * 3 = 2 * 3

3

x = 6

Checking :

LS : = x - 10 = 6 - 10 = 2 - 10 = -8

           3           3 

RS : = -8

Therefore, x equals 6

7

Original equation : 

x(5x-31) = 4x

Solving : 

x(5x-31) = 4x

       x         x

5x-31 = 4

5x-31+31 = 4 + 31

5x = 35

5x = 35

 5      5

x = 7

Therefore, x equals 7

8

Original equation : 

2x-4 = 3(x-4)

Solving : 

2x-4 = 3x-12

2x-4+12 = 3x-12+12

2x+8 = 3x

2x+8-2x = 3x-2x

8 = x

x = 8

Therefore, x equals 8

9

Original equation : 

x-5 + x = 2+x

 2

Solving : 

x-5 + x - x = 2+x-x

 2

x-5 = 2

  2

x-5 * 2 = 2 * 2

  2

x-5 = 4

x-5+5 = 4 + 5

x = 9

Therefore, x equals 9

10

Original equation : 

3(x+1) - 7 = 2

     13

Solving : 

3(x+1) - 7 * 13 =  2*13

     13

3(x+1) - 7 = 26

3(x+1) - 7 + 7 = 26 + 7

3(x+1) = 33

3(x+1) / 3 = 33 / 3

x+1 = 11

x+1-1 = 11 - 1

x = 10

Therefore, x equals 10

11

Original equation : 

4x+12 = 8

    7

Solving : 

4x+12 * 7 = 8 * 7

    7

4x+12 = 56

4x+12-12 = 56-12

4x = 44

4x/4 = 44/4

x = 11

Therefore, x equals 11 

12

Original equation : 

x-3 = 3

  3

Solving : 

x-3 * 3 = 3 * 3

  3

x-3 = 9

x-3+3 = 9+3

x = 12

Therefore, x equals 12