5d+2(2d+3)=42

Solution for 5d+2(2d+3)=42 equation:

Simplifying
5d + 2(2d + 3) = 42

Reorder the terms:
5d + 2(3 + 2d) = 42
5d + (3 * 2 + 2d * 2) = 42
5d + (6 + 4d) = 42

Reorder the terms:
6 + 5d + 4d = 42

Combine like terms: 5d + 4d = 9d
6 + 9d = 42

Solving
6 + 9d = 42

Solving for variable 'd'.

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

Add '-6' to each side of the equation.
6 + -6 + 9d = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 9d = 42 + -6
9d = 42 + -6

Combine like terms: 42 + -6 = 36
9d = 36

Divide each side by '9'.
d = 4

Simplifying
d = 4