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

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

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

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

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

Solving
6 + 5b + 4d = 42

Solving for variable 'b'.

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

Add '-6' to each side of the equation.
6 + 5b + -6 + 4d = 42 + -6

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

Combine like terms: 6 + -6 = 0
0 + 5b + 4d = 42 + -6
5b + 4d = 42 + -6

Combine like terms: 42 + -6 = 36
5b + 4d = 36

Add '-4d' to each side of the equation.
5b + 4d + -4d = 36 + -4d

Combine like terms: 4d + -4d = 0
5b + 0 = 36 + -4d
5b = 36 + -4d

Divide each side by '5'.
b = 7.2 + -0.8d

Simplifying
b = 7.2 + -0.8d