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

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

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

Reorder the terms:
2(-1 + 2b) + 4 = 5(b + 1)
(-1 * 2 + 2b * 2) + 4 = 5(b + 1)
(-2 + 4b) + 4 = 5(b + 1)

Reorder the terms:
-2 + 4 + 4b = 5(b + 1)

Combine like terms: -2 + 4 = 2
2 + 4b = 5(b + 1)

Reorder the terms:
2 + 4b = 5(1 + b)
2 + 4b = (1 * 5 + b * 5)
2 + 4b = (5 + 5b)

Solving
2 + 4b = 5 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
2 + 4b + -5b = 5 + 5b + -5b

Combine like terms: 4b + -5b = -1b
2 + -1b = 5 + 5b + -5b

Combine like terms: 5b + -5b = 0
2 + -1b = 5 + 0
2 + -1b = 5

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

Combine like terms: 2 + -2 = 0
0 + -1b = 5 + -2
-1b = 5 + -2

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

Divide each side by '-1'.
b = -3

Simplifying
b = -3