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

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

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

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

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

Solving
3 + -1d = 2 + 6d

Solving for variable 'd'.

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

Add '-6d' to each side of the equation.
3 + -1d + -6d = 2 + 6d + -6d

Combine like terms: -1d + -6d = -7d
3 + -7d = 2 + 6d + -6d

Combine like terms: 6d + -6d = 0
3 + -7d = 2 + 0
3 + -7d = 2

Add '-3' to each side of the equation.
3 + -3 + -7d = 2 + -3

Combine like terms: 3 + -3 = 0
0 + -7d = 2 + -3
-7d = 2 + -3

Combine like terms: 2 + -3 = -1
-7d = -1

Divide each side by '-7'.
d = 0.1428571429

Simplifying
d = 0.1428571429