(8d+6)-(6d-3)=(8d+7)+(9d-5)

Solution for (8d+6)-(6d-3)=(8d+7)+(9d-5) equation:

Simplifying
(8d + 6) + -1(6d + -3) = (8d + 7) + (9d + -5)

Reorder the terms:
(6 + 8d) + -1(6d + -3) = (8d + 7) + (9d + -5)

Remove parenthesis around (6 + 8d)
6 + 8d + -1(6d + -3) = (8d + 7) + (9d + -5)

Reorder the terms:
6 + 8d + -1(-3 + 6d) = (8d + 7) + (9d + -5)
6 + 8d + (-3 * -1 + 6d * -1) = (8d + 7) + (9d + -5)
6 + 8d + (3 + -6d) = (8d + 7) + (9d + -5)

Reorder the terms:
6 + 3 + 8d + -6d = (8d + 7) + (9d + -5)

Combine like terms: 6 + 3 = 9
9 + 8d + -6d = (8d + 7) + (9d + -5)

Combine like terms: 8d + -6d = 2d
9 + 2d = (8d + 7) + (9d + -5)

Reorder the terms:
9 + 2d = (7 + 8d) + (9d + -5)

Remove parenthesis around (7 + 8d)
9 + 2d = 7 + 8d + (9d + -5)

Reorder the terms:
9 + 2d = 7 + 8d + (-5 + 9d)

Remove parenthesis around (-5 + 9d)
9 + 2d = 7 + 8d + -5 + 9d

Reorder the terms:
9 + 2d = 7 + -5 + 8d + 9d

Combine like terms: 7 + -5 = 2
9 + 2d = 2 + 8d + 9d

Combine like terms: 8d + 9d = 17d
9 + 2d = 2 + 17d

Solving
9 + 2d = 2 + 17d

Solving for variable 'd'.

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

Add '-17d' to each side of the equation.
9 + 2d + -17d = 2 + 17d + -17d

Combine like terms: 2d + -17d = -15d
9 + -15d = 2 + 17d + -17d

Combine like terms: 17d + -17d = 0
9 + -15d = 2 + 0
9 + -15d = 2

Add '-9' to each side of the equation.
9 + -9 + -15d = 2 + -9

Combine like terms: 9 + -9 = 0
0 + -15d = 2 + -9
-15d = 2 + -9

Combine like terms: 2 + -9 = -7
-15d = -7

Divide each side by '-15'.
d = 0.4666666667

Simplifying
d = 0.4666666667