Question

What's the answer to 1/6d+2/3=1/4(d-2) and can someone explain/work this out with me?

Answer 1

1/6d + 2/3 = 1/4(d - 2)...first, distribute thru the parenthesis
1/6d + 2/3 = 1/4d - 1/2....multiply everything by the common denominator 12
2d + 8 = 3d - 6 ...subtract 3d from both sides
2d - 3d + 8 = -6 ...subtract 8 from both sides
2d - 3d = -6 - 8.....simplify
-d = - 14...multiply both sides by -1 to make d positive
d = 14

Answer 2

1/6d+2/3=1/4(d-2)
distribute
1/6d+2/3=1/4d-1/2
add 1/6d to both sides
2/3=5/12d-1/2
add 1/2 to both sides
7/6=5/12d
divide by 5/12
2 4/5=d 
Hope this helps!