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

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

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

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

Reorder the terms:
6 + 2d = 3(-3 + d)
6 + 2d = (-3 * 3 + d * 3)
6 + 2d = (-9 + 3d)

Solving
6 + 2d = -9 + 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.
6 + 2d + -3d = -9 + 3d + -3d

Combine like terms: 2d + -3d = -1d
6 + -1d = -9 + 3d + -3d

Combine like terms: 3d + -3d = 0
6 + -1d = -9 + 0
6 + -1d = -9

Add '-6' to each side of the equation.
6 + -6 + -1d = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -1d = -9 + -6
-1d = -9 + -6

Combine like terms: -9 + -6 = -15
-1d = -15

Divide each side by '-1'.
d = 15

Simplifying
d = 15