3(d-8)+6(d-12)=12

Solution for 3(d-8)+6(d-12)=12 equation:

Simplifying
3(d + -8) + 6(d + -12) = 12

Reorder the terms:
3(-8 + d) + 6(d + -12) = 12
(-8 * 3 + d * 3) + 6(d + -12) = 12
(-24 + 3d) + 6(d + -12) = 12

Reorder the terms:
-24 + 3d + 6(-12 + d) = 12
-24 + 3d + (-12 * 6 + d * 6) = 12
-24 + 3d + (-72 + 6d) = 12

Reorder the terms:
-24 + -72 + 3d + 6d = 12

Combine like terms: -24 + -72 = -96
-96 + 3d + 6d = 12

Combine like terms: 3d + 6d = 9d
-96 + 9d = 12

Solving
-96 + 9d = 12

Solving for variable 'd'.

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

Add '96' to each side of the equation.
-96 + 96 + 9d = 12 + 96

Combine like terms: -96 + 96 = 0
0 + 9d = 12 + 96
9d = 12 + 96

Combine like terms: 12 + 96 = 108
9d = 108

Divide each side by '9'.
d = 12

Simplifying
d = 12