2(4d+3)=3(2d+7)

Solution for 2(4d+3)=3(2d+7) equation:

Simplifying
2(4d + 3) = 3(2d + 7)

Reorder the terms:
2(3 + 4d) = 3(2d + 7)
(3 * 2 + 4d * 2) = 3(2d + 7)
(6 + 8d) = 3(2d + 7)

Reorder the terms:
6 + 8d = 3(7 + 2d)
6 + 8d = (7 * 3 + 2d * 3)
6 + 8d = (21 + 6d)

Solving
6 + 8d = 21 + 6d

Solving for variable 'd'.

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

Add '-6d' to each side of the equation.
6 + 8d + -6d = 21 + 6d + -6d

Combine like terms: 8d + -6d = 2d
6 + 2d = 21 + 6d + -6d

Combine like terms: 6d + -6d = 0
6 + 2d = 21 + 0
6 + 2d = 21

Add '-6' to each side of the equation.
6 + -6 + 2d = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 2d = 21 + -6
2d = 21 + -6

Combine like terms: 21 + -6 = 15
2d = 15

Divide each side by '2'.
d = 7.5

Simplifying
d = 7.5