5(b+6)=(7b+6)

Solution for 5(b+6)=(7b+6) equation:

Simplifying
5(b + 6) = (7b + 6)

Reorder the terms:
5(6 + b) = (7b + 6)
(6 * 5 + b * 5) = (7b + 6)
(30 + 5b) = (7b + 6)

Reorder the terms:
30 + 5b = (6 + 7b)

Remove parenthesis around (6 + 7b)
30 + 5b = 6 + 7b

Solving
30 + 5b = 6 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
30 + 5b + -7b = 6 + 7b + -7b

Combine like terms: 5b + -7b = -2b
30 + -2b = 6 + 7b + -7b

Combine like terms: 7b + -7b = 0
30 + -2b = 6 + 0
30 + -2b = 6

Add '-30' to each side of the equation.
30 + -30 + -2b = 6 + -30

Combine like terms: 30 + -30 = 0
0 + -2b = 6 + -30
-2b = 6 + -30

Combine like terms: 6 + -30 = -24
-2b = -24

Divide each side by '-2'.
b = 12

Simplifying
b = 12