Question

1/4a+8=1/2a
solve for a

Answer 1

subtract 8 from each side
1/4a = 1/2a - 8
now subtract 1/2a from each side
1/4a - 1/2a = -8
now multiply the entire equation by the LCD which is 4
a - 2a = - 32
combine like terms
-a = -32
a = 32

check...
1/4a + 8 = 1/2a
1/4(32) + 8 = 1/2(32)
32/4 + 8 = 32/2
8 + 8 = 16
16 = 16 (correct)

a = 32