3b-(b+2)=5-(3-b)

Solution for 3b-(b+2)=5-(3-b) equation:

Simplifying
3b + -1(b + 2) = 5 + -1(3 + -1b)

Reorder the terms:
3b + -1(2 + b) = 5 + -1(3 + -1b)
3b + (2 * -1 + b * -1) = 5 + -1(3 + -1b)
3b + (-2 + -1b) = 5 + -1(3 + -1b)

Reorder the terms:
-2 + 3b + -1b = 5 + -1(3 + -1b)

Combine like terms: 3b + -1b = 2b
-2 + 2b = 5 + -1(3 + -1b)
-2 + 2b = 5 + (3 * -1 + -1b * -1)
-2 + 2b = 5 + (-3 + 1b)

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

Solving
-2 + 2b = 2 + 1b

Solving for variable 'b'.

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

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

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

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

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

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

Combine like terms: 2 + 2 = 4
1b = 4

Divide each side by '1'.
b = 4

Simplifying
b = 4