2[7b-1]-33=19b

Solution for 2[7b-1]-33=19b equation:

Simplifying
2[7b + -1] + -33 = 19b

Reorder the terms:
2[-1 + 7b] + -33 = 19b
[-1 * 2 + 7b * 2] + -33 = 19b
[-2 + 14b] + -33 = 19b

Reorder the terms:
-2 + -33 + 14b = 19b

Combine like terms: -2 + -33 = -35
-35 + 14b = 19b

Solving
-35 + 14b = 19b

Solving for variable 'b'.

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

Add '-19b' to each side of the equation.
-35 + 14b + -19b = 19b + -19b

Combine like terms: 14b + -19b = -5b
-35 + -5b = 19b + -19b

Combine like terms: 19b + -19b = 0
-35 + -5b = 0

Add '35' to each side of the equation.
-35 + 35 + -5b = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -5b = 0 + 35
-5b = 0 + 35

Combine like terms: 0 + 35 = 35
-5b = 35

Divide each side by '-5'.
b = -7

Simplifying
b = -7