2(6d+3)=3(16-3d)

Solution for 2(6d+3)=3(16-3d) equation:

Simplifying
2(6d + 3) = 3(16 + -3d)

Reorder the terms:
2(3 + 6d) = 3(16 + -3d)
(3 * 2 + 6d * 2) = 3(16 + -3d)
(6 + 12d) = 3(16 + -3d)
6 + 12d = (16 * 3 + -3d * 3)
6 + 12d = (48 + -9d)

Solving
6 + 12d = 48 + -9d

Solving for variable 'd'.

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

Add '9d' to each side of the equation.
6 + 12d + 9d = 48 + -9d + 9d

Combine like terms: 12d + 9d = 21d
6 + 21d = 48 + -9d + 9d

Combine like terms: -9d + 9d = 0
6 + 21d = 48 + 0
6 + 21d = 48

Add '-6' to each side of the equation.
6 + -6 + 21d = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 21d = 48 + -6
21d = 48 + -6

Combine like terms: 48 + -6 = 42
21d = 42

Divide each side by '21'.
d = 2

Simplifying
d = 2