6+4b-6=12-2(2b+1)+3b

Solution for 6+4b-6=12-2(2b+1)+3b equation:

Simplifying
6 + 4b + -6 = 12 + -2(2b + 1) + 3b

Reorder the terms:
6 + -6 + 4b = 12 + -2(2b + 1) + 3b

Combine like terms: 6 + -6 = 0
0 + 4b = 12 + -2(2b + 1) + 3b
4b = 12 + -2(2b + 1) + 3b

Reorder the terms:
4b = 12 + -2(1 + 2b) + 3b
4b = 12 + (1 * -2 + 2b * -2) + 3b
4b = 12 + (-2 + -4b) + 3b

Combine like terms: 12 + -2 = 10
4b = 10 + -4b + 3b

Combine like terms: -4b + 3b = -1b
4b = 10 + -1b

Solving
4b = 10 + -1b

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
4b + b = 10 + -1b + b

Combine like terms: 4b + b = 5b
5b = 10 + -1b + b

Combine like terms: -1b + b = 0
5b = 10 + 0
5b = 10

Divide each side by '5'.
b = 2

Simplifying
b = 2