3b+6=2(b-2)

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

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

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

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

Solving
6 + 3b = -4 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
6 + 3b + -2b = -4 + 2b + -2b

Combine like terms: 3b + -2b = 1b
6 + 1b = -4 + 2b + -2b

Combine like terms: 2b + -2b = 0
6 + 1b = -4 + 0
6 + 1b = -4

Add '-6' to each side of the equation.
6 + -6 + 1b = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 1b = -4 + -6
1b = -4 + -6

Combine like terms: -4 + -6 = -10
1b = -10

Divide each side by '1'.
b = -10

Simplifying
b = -10