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

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

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

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

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

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

Reorder the terms:
6 + 1b = -4 + 4 + 2b

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

Solving
6 + 1b = 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 + 1b + -2b = 2b + -2b

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

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

Add '-6' to each side of the equation.
6 + -6 + -1b = 0 + -6

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

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

Divide each side by '-1'.
b = 6

Simplifying
b = 6