3(1-b)=4(b+8)

Solution for 3(1-b)=4(b+8) equation:

Simplifying
3(1 + -1b) = 4(b + 8)
(1 * 3 + -1b * 3) = 4(b + 8)
(3 + -3b) = 4(b + 8)

Reorder the terms:
3 + -3b = 4(8 + b)
3 + -3b = (8 * 4 + b * 4)
3 + -3b = (32 + 4b)

Solving
3 + -3b = 32 + 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 = 32 + 4b + -4b

Combine like terms: -3b + -4b = -7b
3 + -7b = 32 + 4b + -4b

Combine like terms: 4b + -4b = 0
3 + -7b = 32 + 0
3 + -7b = 32

Add '-3' to each side of the equation.
3 + -3 + -7b = 32 + -3

Combine like terms: 3 + -3 = 0
0 + -7b = 32 + -3
-7b = 32 + -3

Combine like terms: 32 + -3 = 29
-7b = 29

Divide each side by '-7'.
b = -4.142857143

Simplifying
b = -4.142857143