2(1-4b)+5b=-2(b-1)

Solution for 2(1-4b)+5b=-2(b-1) equation:

Simplifying
2(1 + -4b) + 5b = -2(b + -1)
(1 * 2 + -4b * 2) + 5b = -2(b + -1)
(2 + -8b) + 5b = -2(b + -1)

Combine like terms: -8b + 5b = -3b
2 + -3b = -2(b + -1)

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

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

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

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

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

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

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

Divide each side by '-1'.
b = 0

Simplifying
b = 0