3-(b-2)=2-7b

Solution for 3-(b-2)=2-7b equation:

Simplifying
3 + -1(b + -2) = 2 + -7b

Reorder the terms:
3 + -1(-2 + b) = 2 + -7b
3 + (-2 * -1 + b * -1) = 2 + -7b
3 + (2 + -1b) = 2 + -7b

Combine like terms: 3 + 2 = 5
5 + -1b = 2 + -7b

Solving
5 + -1b = 2 + -7b

Solving for variable 'b'.

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

Add '7b' to each side of the equation.
5 + -1b + 7b = 2 + -7b + 7b

Combine like terms: -1b + 7b = 6b
5 + 6b = 2 + -7b + 7b

Combine like terms: -7b + 7b = 0
5 + 6b = 2 + 0
5 + 6b = 2

Add '-5' to each side of the equation.
5 + -5 + 6b = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 6b = 2 + -5
6b = 2 + -5

Combine like terms: 2 + -5 = -3
6b = -3

Divide each side by '6'.
b = -0.5

Simplifying
b = -0.5