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

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

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

Reorder the terms:
2(3 + 3d) = 3(6d + -2)
(3 * 2 + 3d * 2) = 3(6d + -2)
(6 + 6d) = 3(6d + -2)

Reorder the terms:
6 + 6d = 3(-2 + 6d)
6 + 6d = (-2 * 3 + 6d * 3)
6 + 6d = (-6 + 18d)

Solving
6 + 6d = -6 + 18d

Solving for variable 'd'.

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

Add '-18d' to each side of the equation.
6 + 6d + -18d = -6 + 18d + -18d

Combine like terms: 6d + -18d = -12d
6 + -12d = -6 + 18d + -18d

Combine like terms: 18d + -18d = 0
6 + -12d = -6 + 0
6 + -12d = -6

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

Combine like terms: 6 + -6 = 0
0 + -12d = -6 + -6
-12d = -6 + -6

Combine like terms: -6 + -6 = -12
-12d = -12

Divide each side by '-12'.
d = 1

Simplifying
d = 1