2(2d+3)=3(6d+2)

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

Simplifying
2(2d + 3) = 3(6d + 2)

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

Reorder the terms:
6 + 4d = 3(2 + 6d)
6 + 4d = (2 * 3 + 6d * 3)
6 + 4d = (6 + 18d)

Add '-6' to each side of the equation.
6 + -6 + 4d = 6 + -6 + 18d

Combine like terms: 6 + -6 = 0
0 + 4d = 6 + -6 + 18d
4d = 6 + -6 + 18d

Combine like terms: 6 + -6 = 0
4d = 0 + 18d
4d = 18d

Solving
4d = 18d

Solving for variable 'd'.

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

Add '-18d' to each side of the equation.
4d + -18d = 18d + -18d

Combine like terms: 4d + -18d = -14d
-14d = 18d + -18d

Combine like terms: 18d + -18d = 0
-14d = 0

Divide each side by '-14'.
d = 0

Simplifying
d = 0