One third of a number x is equal to 22 less than the number

One Third of a number X is equal to 22 less than the number.

Just write an equation for what is says

x = x - 22

Get rid of the fraction, multiply both sides by 3

x = 3 (x-22)

x = 3x - 66

66 = 3x - x

66 = 2x

x = 66/2

x = 33

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You can check this for yourself, replace x with 33 in the original equation

7x plus1 = 22 x equal 3