3b-2(b-8)=3+2b

Solution for 3b-2(b-8)=3+2b equation:

Simplifying
3b + -2(b + -8) = 3 + 2b

Reorder the terms:
3b + -2(-8 + b) = 3 + 2b
3b + (-8 * -2 + b * -2) = 3 + 2b
3b + (16 + -2b) = 3 + 2b

Reorder the terms:
16 + 3b + -2b = 3 + 2b

Combine like terms: 3b + -2b = 1b
16 + 1b = 3 + 2b

Solving
16 + 1b = 3 + 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.
16 + 1b + -2b = 3 + 2b + -2b

Combine like terms: 1b + -2b = -1b
16 + -1b = 3 + 2b + -2b

Combine like terms: 2b + -2b = 0
16 + -1b = 3 + 0
16 + -1b = 3

Add '-16' to each side of the equation.
16 + -16 + -1b = 3 + -16

Combine like terms: 16 + -16 = 0
0 + -1b = 3 + -16
-1b = 3 + -16

Combine like terms: 3 + -16 = -13
-1b = -13

Divide each side by '-1'.
b = 13

Simplifying
b = 13