2(4b-2)+1=b-2(-4b-1)

Solution for 2(4b-2)+1=b-2(-4b-1) equation:

Simplifying
2(4b + -2) + 1 = b + -2(-4b + -1)

Reorder the terms:
2(-2 + 4b) + 1 = b + -2(-4b + -1)
(-2 * 2 + 4b * 2) + 1 = b + -2(-4b + -1)
(-4 + 8b) + 1 = b + -2(-4b + -1)

Reorder the terms:
-4 + 1 + 8b = b + -2(-4b + -1)

Combine like terms: -4 + 1 = -3
-3 + 8b = b + -2(-4b + -1)

Reorder the terms:
-3 + 8b = b + -2(-1 + -4b)
-3 + 8b = b + (-1 * -2 + -4b * -2)
-3 + 8b = b + (2 + 8b)

Reorder the terms:
-3 + 8b = 2 + b + 8b

Combine like terms: b + 8b = 9b
-3 + 8b = 2 + 9b

Solving
-3 + 8b = 2 + 9b

Solving for variable 'b'.

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

Add '-9b' to each side of the equation.
-3 + 8b + -9b = 2 + 9b + -9b

Combine like terms: 8b + -9b = -1b
-3 + -1b = 2 + 9b + -9b

Combine like terms: 9b + -9b = 0
-3 + -1b = 2 + 0
-3 + -1b = 2

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

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

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

Divide each side by '-1'.
b = -5

Simplifying
b = -5