Question

1/6d + 2/3 = 1/4(d-2)Please help me solve step by step. Thanks

Answer 1

Let's solve the equation:

`\begin{gathered} (1)/(6)d+(2)/(3)=(1)/(4)(d-2) \\ (1)/(6)d+(2)/(3)=(1)/(4)d-(2)/(4) \\ (1)/(6)d-(1)/(4)d=-(2)/(3)-(2)/(4) \\ (4d-6d)/(24)=(-8-6)/(12) \\ -(2)/(24)d=-(14)/(12) \\ -(1)/(12)d=-(7)/(6) \\ d=(-(7)/(6))/(-(1)/(12)) \\ d=((12)(7))/(6) \\ d=14 \end{gathered}`

Therefore d=14