3(4d-2)=5(3-d)

Solution for 3(4d-2)=5(3-d) equation:

Simplifying
3(4d + -2) = 5(3 + -1d)

Reorder the terms:
3(-2 + 4d) = 5(3 + -1d)
(-2 * 3 + 4d * 3) = 5(3 + -1d)
(-6 + 12d) = 5(3 + -1d)
-6 + 12d = (3 * 5 + -1d * 5)
-6 + 12d = (15 + -5d)

Solving
-6 + 12d = 15 + -5d

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '5d' to each side of the equation.
-6 + 12d + 5d = 15 + -5d + 5d

Combine like terms: 12d + 5d = 17d
-6 + 17d = 15 + -5d + 5d

Combine like terms: -5d + 5d = 0
-6 + 17d = 15 + 0
-6 + 17d = 15

Add '6' to each side of the equation.
-6 + 6 + 17d = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 17d = 15 + 6
17d = 15 + 6

Combine like terms: 15 + 6 = 21
17d = 21

Divide each side by '17'.
d = 1.235294118

Simplifying
d = 1.235294118