Question

solve the equation a-(a-1/2) = 1-(a-2/3)

Answer 1

Is it sufficient.
Hope it will satisfy you.

Answer 2

a - ( a - 1/2) = 1 - (a - 2/3)
a - a + 1/2 = 1 - a + 2/3
1/2 = 1 + 2/3 - a
1/2 =( 3 + 2)/3 - a
1/2 = 5/3 - a
- a = 1/2 - 5/3
- a = (3 - 5)/6        ..............Taking the LCM of 2,3 = 6
-a = -2/6
a = 1/3              ..............Cancelling the negative sign on both the sides.