-2(b+3)=6b+42

Solution for -2(b+3)=6b+42 equation:

Simplifying
-2(b + 3) = 6b + 42

Reorder the terms:
-2(3 + b) = 6b + 42
(3 * -2 + b * -2) = 6b + 42
(-6 + -2b) = 6b + 42

Reorder the terms:
-6 + -2b = 42 + 6b

Solving
-6 + -2b = 42 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
-6 + -2b + -6b = 42 + 6b + -6b

Combine like terms: -2b + -6b = -8b
-6 + -8b = 42 + 6b + -6b

Combine like terms: 6b + -6b = 0
-6 + -8b = 42 + 0
-6 + -8b = 42

Add '6' to each side of the equation.
-6 + 6 + -8b = 42 + 6

Combine like terms: -6 + 6 = 0
0 + -8b = 42 + 6
-8b = 42 + 6

Combine like terms: 42 + 6 = 48
-8b = 48

Divide each side by '-8'.
b = -6

Simplifying
b = -6