-2(b+3)=3b+6(b+1)

Solution for -2(b+3)=3b+6(b+1) equation:

Simplifying
-2(b + 3) = 3b + 6(b + 1)

Reorder the terms:
-2(3 + b) = 3b + 6(b + 1)
(3 * -2 + b * -2) = 3b + 6(b + 1)
(-6 + -2b) = 3b + 6(b + 1)

Reorder the terms:
-6 + -2b = 3b + 6(1 + b)
-6 + -2b = 3b + (1 * 6 + b * 6)
-6 + -2b = 3b + (6 + 6b)

Reorder the terms:
-6 + -2b = 6 + 3b + 6b

Combine like terms: 3b + 6b = 9b
-6 + -2b = 6 + 9b

Solving
-6 + -2b = 6 + 9b

Solving for variable 'b'.

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

Add '-9b' to each side of the equation.
-6 + -2b + -9b = 6 + 9b + -9b

Combine like terms: -2b + -9b = -11b
-6 + -11b = 6 + 9b + -9b

Combine like terms: 9b + -9b = 0
-6 + -11b = 6 + 0
-6 + -11b = 6

Add '6' to each side of the equation.
-6 + 6 + -11b = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -11b = 6 + 6
-11b = 6 + 6

Combine like terms: 6 + 6 = 12
-11b = 12

Divide each side by '-11'.
b = -1.090909091

Simplifying
b = -1.090909091