[5(b-5)+19]-[3(4b-2)+5]=

Solution for [5(b-5)+19]-[3(4b-2)+5]= equation:

Simplifying
[5(b + -5) + 19] + -1[3(4b + -2) + 5] = 0

Reorder the terms:
[5(-5 + b) + 19] + -1[3(4b + -2) + 5] = 0
[(-5 * 5 + b * 5) + 19] + -1[3(4b + -2) + 5] = 0
[(-25 + 5b) + 19] + -1[3(4b + -2) + 5] = 0

Reorder the terms:
[-25 + 19 + 5b] + -1[3(4b + -2) + 5] = 0

Combine like terms: -25 + 19 = -6
[-6 + 5b] + -1[3(4b + -2) + 5] = 0

Remove brackets around [-6 + 5b]
-6 + 5b + -1[3(4b + -2) + 5] = 0

Reorder the terms:
-6 + 5b + -1[3(-2 + 4b) + 5] = 0
-6 + 5b + -1[(-2 * 3 + 4b * 3) + 5] = 0
-6 + 5b + -1[(-6 + 12b) + 5] = 0

Reorder the terms:
-6 + 5b + -1[-6 + 5 + 12b] = 0

Combine like terms: -6 + 5 = -1
-6 + 5b + -1[-1 + 12b] = 0
-6 + 5b + [-1 * -1 + 12b * -1] = 0
-6 + 5b + [1 + -12b] = 0

Reorder the terms:
-6 + 1 + 5b + -12b = 0

Combine like terms: -6 + 1 = -5
-5 + 5b + -12b = 0

Combine like terms: 5b + -12b = -7b
-5 + -7b = 0

Solving
-5 + -7b = 0

Solving for variable 'b'.

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

Add '5' to each side of the equation.
-5 + 5 + -7b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7b = 0 + 5
-7b = 0 + 5

Combine like terms: 0 + 5 = 5
-7b = 5

Divide each side by '-7'.
b = -0.7142857143

Simplifying
b = -0.7142857143