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3 times a number can be written as "3x" if we let "x" be an unknown number  

increased by 22 means add 22 or "+22"

result means "equals"

7 times the number can be written as "7x"

14 less can be written as "-14"

So, 

3x + 22 = 7x -14

+14            +14

3x + 36 = 7x

-3x            -3x

36   =    4x

÷4    ÷4

9 = x

The number is 

9

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