X+1/3=5+x/2

x + 1/3  =  5 + x/2

Oftentimes, equations are easier to solve if there are no fractions.

To get rid of fractions, multiply each side by a common denominator (a common denominator of 3 and 2 is 6).

6 · (x + 1/3)  =  6 · (5 + x/2)

6 · x  +  6 · 1/3     =     6 · 5  +  6 · x/2

6x  +  2    =    30 + 3x

Get all the x's to one side (subtract 3x from both sides);

6x - 3x + 2  =  30 + 3x - 3x

3x + 2  =  30

Subtract 2 from both sides:

3x + 2 - 2  =  30 - 2

3x  =  28

Divide by 3:

x  = 28/3   or   9 1/3