4(2d+3)-3d=42

Solution for 4(2d+3)-3d=42 equation:

Simplifying
4(2d + 3) + -3d = 42

Reorder the terms:
4(3 + 2d) + -3d = 42
(3 * 4 + 2d * 4) + -3d = 42
(12 + 8d) + -3d = 42

Combine like terms: 8d + -3d = 5d
12 + 5d = 42

Solving
12 + 5d = 42

Solving for variable 'd'.

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

Add '-12' to each side of the equation.
12 + -12 + 5d = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 5d = 42 + -12
5d = 42 + -12

Combine like terms: 42 + -12 = 30
5d = 30

Divide each side by '5'.
d = 6

Simplifying
d = 6