2(3-6d)=-1(5d+1)

Solution for 2(3-6d)=-1(5d+1) equation:

Simplifying
2(3 + -6d) = -1(5d + 1)
(3 * 2 + -6d * 2) = -1(5d + 1)
(6 + -12d) = -1(5d + 1)

Reorder the terms:
6 + -12d = -1(1 + 5d)
6 + -12d = (1 * -1 + 5d * -1)
6 + -12d = (-1 + -5d)

Solving
6 + -12d = -1 + -5d

Solving for variable 'd'.

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

Add '5d' to each side of the equation.
6 + -12d + 5d = -1 + -5d + 5d

Combine like terms: -12d + 5d = -7d
6 + -7d = -1 + -5d + 5d

Combine like terms: -5d + 5d = 0
6 + -7d = -1 + 0
6 + -7d = -1

Add '-6' to each side of the equation.
6 + -6 + -7d = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -7d = -1 + -6
-7d = -1 + -6

Combine like terms: -1 + -6 = -7
-7d = -7

Divide each side by '-7'.
d = 1

Simplifying
d = 1