33d-42=3(7d+6)

Solution for 33d-42=3(7d+6) equation:

Simplifying
33d + -42 = 3(7d + 6)

Reorder the terms:
-42 + 33d = 3(7d + 6)

Reorder the terms:
-42 + 33d = 3(6 + 7d)
-42 + 33d = (6 * 3 + 7d * 3)
-42 + 33d = (18 + 21d)

Solving
-42 + 33d = 18 + 21d

Solving for variable 'd'.

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

Add '-21d' to each side of the equation.
-42 + 33d + -21d = 18 + 21d + -21d

Combine like terms: 33d + -21d = 12d
-42 + 12d = 18 + 21d + -21d

Combine like terms: 21d + -21d = 0
-42 + 12d = 18 + 0
-42 + 12d = 18

Add '42' to each side of the equation.
-42 + 42 + 12d = 18 + 42

Combine like terms: -42 + 42 = 0
0 + 12d = 18 + 42
12d = 18 + 42

Combine like terms: 18 + 42 = 60
12d = 60

Divide each side by '12'.
d = 5

Simplifying
d = 5