2(6d+3)=18-3(x-5)

Solution for 2(6d+3)=18-3(x-5) equation:

Simplifying
2(6d + 3) = 18 + -3(x + -5)

Reorder the terms:
2(3 + 6d) = 18 + -3(x + -5)
(3 * 2 + 6d * 2) = 18 + -3(x + -5)
(6 + 12d) = 18 + -3(x + -5)

Reorder the terms:
6 + 12d = 18 + -3(-5 + x)
6 + 12d = 18 + (-5 * -3 + x * -3)
6 + 12d = 18 + (15 + -3x)

Combine like terms: 18 + 15 = 33
6 + 12d = 33 + -3x

Solving
6 + 12d = 33 + -3x

Solving for variable 'd'.

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

Add '-6' to each side of the equation.
6 + -6 + 12d = 33 + -6 + -3x

Combine like terms: 6 + -6 = 0
0 + 12d = 33 + -6 + -3x
12d = 33 + -6 + -3x

Combine like terms: 33 + -6 = 27
12d = 27 + -3x

Divide each side by '12'.
d = 2.25 + -0.25x

Simplifying
d = 2.25 + -0.25x