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

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

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

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

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

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

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

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

Combine like terms: 6 + -6 = 0
0 + -1d = 6 + -6 + 2d
-1d = 6 + -6 + 2d

Combine like terms: 6 + -6 = 0
-1d = 0 + 2d
-1d = 2d

Solving
-1d = 2d

Solving for variable 'd'.

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

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

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

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

Divide each side by '-3'.
d = 0

Simplifying
d = 0