b+3=6(7-2b)

Solution for b+3=6(7-2b) equation:

Simplifying
b + 3 = 6(7 + -2b)

Reorder the terms:
3 + b = 6(7 + -2b)
3 + b = (7 * 6 + -2b * 6)
3 + b = (42 + -12b)

Solving
3 + b = 42 + -12b

Solving for variable 'b'.

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

Add '12b' to each side of the equation.
3 + b + 12b = 42 + -12b + 12b

Combine like terms: b + 12b = 13b
3 + 13b = 42 + -12b + 12b

Combine like terms: -12b + 12b = 0
3 + 13b = 42 + 0
3 + 13b = 42

Add '-3' to each side of the equation.
3 + -3 + 13b = 42 + -3

Combine like terms: 3 + -3 = 0
0 + 13b = 42 + -3
13b = 42 + -3

Combine like terms: 42 + -3 = 39
13b = 39

Divide each side by '13'.
b = 3

Simplifying
b = 3