How to solve 1/5a+1/3=1/3a-1/3

Get all the common factors on the same sides

1/5 a + 1/3 = 1/3 a - 1/3

1/5 a - 1/3 a = - 1/3 - 1/3

(1/5 - 1/3) a = - 2/3

a = (-2/3) / (1/5 - 1/3)

A = 5

first you could add 1/3 to both sides in order to move it from one side to the other, then i would multiply the whole equation by 3 in order to cancel out all of the / 3 fractions, from this you would have 3/5a + 2 = a

next multiply everything by 5 to cancel out the 3/5, you get 3a+10=5a

subtract 3a from both sides, 10=2a

divide both sides by 2 in order to make a not have a coefficient, and you get 5=a

hopefully that was easy enough to understand