3(b+2)=3(5b-6)

Solution for 3(b+2)=3(5b-6) equation:

Simplifying
3(b + 2) = 3(5b + -6)

Reorder the terms:
3(2 + b) = 3(5b + -6)
(2 * 3 + b * 3) = 3(5b + -6)
(6 + 3b) = 3(5b + -6)

Reorder the terms:
6 + 3b = 3(-6 + 5b)
6 + 3b = (-6 * 3 + 5b * 3)
6 + 3b = (-18 + 15b)

Solving
6 + 3b = -18 + 15b

Solving for variable 'b'.

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

Add '-15b' to each side of the equation.
6 + 3b + -15b = -18 + 15b + -15b

Combine like terms: 3b + -15b = -12b
6 + -12b = -18 + 15b + -15b

Combine like terms: 15b + -15b = 0
6 + -12b = -18 + 0
6 + -12b = -18

Add '-6' to each side of the equation.
6 + -6 + -12b = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -12b = -18 + -6
-12b = -18 + -6

Combine like terms: -18 + -6 = -24
-12b = -24

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

Simplifying
b = 2