3(2-b)-b=19+b

Solution for 3(2-b)-b=19+b equation:

Simplifying
3(2 + -1b) + -1b = 19 + b
(2 * 3 + -1b * 3) + -1b = 19 + b
(6 + -3b) + -1b = 19 + b

Combine like terms: -3b + -1b = -4b
6 + -4b = 19 + b

Solving
6 + -4b = 19 + 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 + -4b + -1b = 19 + b + -1b

Combine like terms: -4b + -1b = -5b
6 + -5b = 19 + b + -1b

Combine like terms: b + -1b = 0
6 + -5b = 19 + 0
6 + -5b = 19

Add '-6' to each side of the equation.
6 + -6 + -5b = 19 + -6

Combine like terms: 6 + -6 = 0
0 + -5b = 19 + -6
-5b = 19 + -6

Combine like terms: 19 + -6 = 13
-5b = 13

Divide each side by '-5'.
b = -2.6

Simplifying
b = -2.6