6(b+5)=2(6b-21)

Solution for 6(b+5)=2(6b-21) equation:

Simplifying
6(b + 5) = 2(6b + -21)

Reorder the terms:
6(5 + b) = 2(6b + -21)
(5 * 6 + b * 6) = 2(6b + -21)
(30 + 6b) = 2(6b + -21)

Reorder the terms:
30 + 6b = 2(-21 + 6b)
30 + 6b = (-21 * 2 + 6b * 2)
30 + 6b = (-42 + 12b)

Solving
30 + 6b = -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.
30 + 6b + -12b = -42 + 12b + -12b

Combine like terms: 6b + -12b = -6b
30 + -6b = -42 + 12b + -12b

Combine like terms: 12b + -12b = 0
30 + -6b = -42 + 0
30 + -6b = -42

Add '-30' to each side of the equation.
30 + -30 + -6b = -42 + -30

Combine like terms: 30 + -30 = 0
0 + -6b = -42 + -30
-6b = -42 + -30

Combine like terms: -42 + -30 = -72
-6b = -72

Divide each side by '-6'.
b = 12

Simplifying
b = 12