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

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

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

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

Reorder the terms:
6 + 4d = 3(-3 + 4d)
6 + 4d = (-3 * 3 + 4d * 3)
6 + 4d = (-9 + 12d)

Solving
6 + 4d = -9 + 12d

Solving for variable 'd'.

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

Add '-12d' to each side of the equation.
6 + 4d + -12d = -9 + 12d + -12d

Combine like terms: 4d + -12d = -8d
6 + -8d = -9 + 12d + -12d

Combine like terms: 12d + -12d = 0
6 + -8d = -9 + 0
6 + -8d = -9

Add '-6' to each side of the equation.
6 + -6 + -8d = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -8d = -9 + -6
-8d = -9 + -6

Combine like terms: -9 + -6 = -15
-8d = -15

Divide each side by '-8'.
d = 1.875

Simplifying
d = 1.875