2(b+3)=4b-2

Solution for 2(b+3)=4b-2 equation:

Simplifying
2(b + 3) = 4b + -2

Reorder the terms:
2(3 + b) = 4b + -2
(3 * 2 + b * 2) = 4b + -2
(6 + 2b) = 4b + -2

Reorder the terms:
6 + 2b = -2 + 4b

Solving
6 + 2b = -2 + 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.
6 + 2b + -4b = -2 + 4b + -4b

Combine like terms: 2b + -4b = -2b
6 + -2b = -2 + 4b + -4b

Combine like terms: 4b + -4b = 0
6 + -2b = -2 + 0
6 + -2b = -2

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

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

Combine like terms: -2 + -6 = -8
-2b = -8

Divide each side by '-2'.
b = 4

Simplifying
b = 4