3(1-b)=4b-11

Solution for 3(1-b)=4b-11 equation:

Simplifying
3(1 + -1b) = 4b + -11
(1 * 3 + -1b * 3) = 4b + -11
(3 + -3b) = 4b + -11

Reorder the terms:
3 + -3b = -11 + 4b

Solving
3 + -3b = -11 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
3 + -3b + -4b = -11 + 4b + -4b

Combine like terms: -3b + -4b = -7b
3 + -7b = -11 + 4b + -4b

Combine like terms: 4b + -4b = 0
3 + -7b = -11 + 0
3 + -7b = -11

Add '-3' to each side of the equation.
3 + -3 + -7b = -11 + -3

Combine like terms: 3 + -3 = 0
0 + -7b = -11 + -3
-7b = -11 + -3

Combine like terms: -11 + -3 = -14
-7b = -14

Divide each side by '-7'.
b = 2

Simplifying
b = 2