4d+2(d+3)=-3(d-2)

Solution for 4d+2(d+3)=-3(d-2) equation:

Simplifying
4d + 2(d + 3) = -3(d + -2)

Reorder the terms:
4d + 2(3 + d) = -3(d + -2)
4d + (3 * 2 + d * 2) = -3(d + -2)
4d + (6 + 2d) = -3(d + -2)

Reorder the terms:
6 + 4d + 2d = -3(d + -2)

Combine like terms: 4d + 2d = 6d
6 + 6d = -3(d + -2)

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

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

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

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

Solving
6d = -3d

Solving for variable 'd'.

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

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

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

Combine like terms: -3d + 3d = 0
9d = 0

Divide each side by '9'.
d = 0

Simplifying
d = 0