2(d+3)+3(d-1)=-12

Solution for 2(d+3)+3(d-1)=-12 equation:

Simplifying
2(d + 3) + 3(d + -1) = -12

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

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

Reorder the terms:
6 + -3 + 2d + 3d = -12

Combine like terms: 6 + -3 = 3
3 + 2d + 3d = -12

Combine like terms: 2d + 3d = 5d
3 + 5d = -12

Solving
3 + 5d = -12

Solving for variable 'd'.

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

Add '-3' to each side of the equation.
3 + -3 + 5d = -12 + -3

Combine like terms: 3 + -3 = 0
0 + 5d = -12 + -3
5d = -12 + -3

Combine like terms: -12 + -3 = -15
5d = -15

Divide each side by '5'.
d = -3

Simplifying
d = -3