Question

1/6d + 2/3 = 1/4(d-2) how to solve

Answer 1

Greetings!

Solve for d.

`1/6d + 2/3 = 1/4(d-2)`
Distribute the Parenthesis.

`1/6d + 2/3 = 1/4*d+1/4*-2`

`1/6d + 2/3 = 1/4d+1/4*-2/1`

`1/6d + 2/3 = 1/4d-2/4`
Reduce.

`1/6d + 2/3 = 1/4d-1/2`
Add -2/3 to both sides.

`(1/6d + 2/3)+(-2/3)=(1/4d-1/2)+(-2/3)`
Simplify.

`1/6d=1/4d-3/6-4/6`

`1/6d=1/4d-7/6`
Add -1/4d to both sides.

`(1/6d)+(-1/4d)=(1/4d-7/6)+(-1/4d)`
Simplify.

`2/12d)-3/12d=-7/6`

`-1/12d=-7/6`
Divide both sides by -1/12.

`(-1/12d)/-1/12=(-7/6)/-1/12`
Simplify.

`d=(-7/6)*-12/1`

`d=84/6`
Reduce.

`d=14/1`

`d=14`

Hope this helps.
-Benjamin