Question

Solve for a: a/2 - 2/3 = a + 1/5

Answer 1

Combining like terms, move the one with coefficient a to the left, and move the constant to the right

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

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

equalize the denominators in like-terms

`(a)/(2) - (2a)/(2) =(1 * 3)/(5 * 3) + (2 * 5)/(3 * 5)`

`(a)/(2) - (2a)/(2) =(3)/(15) + (10)/(15)`

do the operation to the numerators

`(-a)/(2) =(13)/(15)`

solve for a
-a =
`(13)/(15) * 2`
-a =
`(26)/(15)`
a =
`- (26)/(15)`

Answer 2

the answer is 4 if I am correct