2+3b=2(2b+1)+1

Solution for 2+3b=2(2b+1)+1 equation:

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

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

Reorder the terms:
2 + 3b = 2 + 1 + 4b

Combine like terms: 2 + 1 = 3
2 + 3b = 3 + 4b

Solving
2 + 3b = 3 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
2 + 3b + -4b = 3 + 4b + -4b

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

Combine like terms: 4b + -4b = 0
2 + -1b = 3 + 0
2 + -1b = 3

Add '-2' to each side of the equation.
2 + -2 + -1b = 3 + -2

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

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

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

Simplifying
b = -1