2(b-(4b-5))=3b+4

Solution for 2(b-(4b-5))=3b+4 equation:

Simplifying
2(b + -1(4b + -5)) = 3b + 4

Reorder the terms:
2(b + -1(-5 + 4b)) = 3b + 4
2(b + (-5 * -1 + 4b * -1)) = 3b + 4
2(b + (5 + -4b)) = 3b + 4

Reorder the terms:
2(5 + b + -4b) = 3b + 4

Combine like terms: b + -4b = -3b
2(5 + -3b) = 3b + 4
(5 * 2 + -3b * 2) = 3b + 4
(10 + -6b) = 3b + 4

Reorder the terms:
10 + -6b = 4 + 3b

Solving
10 + -6b = 4 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
10 + -6b + -3b = 4 + 3b + -3b

Combine like terms: -6b + -3b = -9b
10 + -9b = 4 + 3b + -3b

Combine like terms: 3b + -3b = 0
10 + -9b = 4 + 0
10 + -9b = 4

Add '-10' to each side of the equation.
10 + -10 + -9b = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -9b = 4 + -10
-9b = 4 + -10

Combine like terms: 4 + -10 = -6
-9b = -6

Divide each side by '-9'.
b = 0.6666666667

Simplifying
b = 0.6666666667