Question 255696
x = an integer
x + 1 = the next integer


your equation to solve is:


{{{x/2 = (x+1)/3 + 3}}}


multiply both sides of this equation by 2 to get:


{{{x = 2 * ( (x+1)/3 + 3)}}}


simplify by multiplying out the factors to get:


{{{x = (2 * (x+1))/3 + 2*3}}}


simplify further to get:


{{{x = (2*x + 2)/3 + 6}}}


multiply both sides of this equation by 3 to get:


{{{3*x = 2*x + 2 + 18}}}


subtract 2*x from both sides of the equation to get:


{{{3*x - 2*x = 2 + 18}}}


combine like terms to get:


{{{x = 20}}}


since x = 20, then the next integer is x+1 = 21


your integers are 20 and 21


take half of 20 to get 10


take 21 and divide it by 3 to get 7 and then add 3 to that to get 10.


half of 20 = 10 and one third of 21 + 3 = 10, so they are equal to each other.


you get:


half of 20 = 3 more than 1/3 of 21.


your answer is that the integer is equal to 20.