2(3-b)=b-9

Solution for 2(3-b)=b-9 equation:

Simplifying
2(3 + -1b) = b + -9
(3 * 2 + -1b * 2) = b + -9
(6 + -2b) = b + -9

Reorder the terms:
6 + -2b = -9 + b

Solving
6 + -2b = -9 + b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
6 + -2b + -1b = -9 + b + -1b

Combine like terms: -2b + -1b = -3b
6 + -3b = -9 + b + -1b

Combine like terms: b + -1b = 0
6 + -3b = -9 + 0
6 + -3b = -9

Add '-6' to each side of the equation.
6 + -6 + -3b = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3b = -9 + -6
-3b = -9 + -6

Combine like terms: -9 + -6 = -15
-3b = -15

Divide each side by '-3'.
b = 5

Simplifying
b = 5