3[4-(3b+10)]-19=2(6-b)

Solution for 3[4-(3b+10)]-19=2(6-b) equation:

Simplifying
3[4 + -1(3b + 10)] + -19 = 2(6 + -1b)

Reorder the terms:
3[4 + -1(10 + 3b)] + -19 = 2(6 + -1b)
3[4 + (10 * -1 + 3b * -1)] + -19 = 2(6 + -1b)
3[4 + (-10 + -3b)] + -19 = 2(6 + -1b)

Combine like terms: 4 + -10 = -6
3[-6 + -3b] + -19 = 2(6 + -1b)
[-6 * 3 + -3b * 3] + -19 = 2(6 + -1b)
[-18 + -9b] + -19 = 2(6 + -1b)

Reorder the terms:
-18 + -19 + -9b = 2(6 + -1b)

Combine like terms: -18 + -19 = -37
-37 + -9b = 2(6 + -1b)
-37 + -9b = (6 * 2 + -1b * 2)
-37 + -9b = (12 + -2b)

Solving
-37 + -9b = 12 + -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.
-37 + -9b + 2b = 12 + -2b + 2b

Combine like terms: -9b + 2b = -7b
-37 + -7b = 12 + -2b + 2b

Combine like terms: -2b + 2b = 0
-37 + -7b = 12 + 0
-37 + -7b = 12

Add '37' to each side of the equation.
-37 + 37 + -7b = 12 + 37

Combine like terms: -37 + 37 = 0
0 + -7b = 12 + 37
-7b = 12 + 37

Combine like terms: 12 + 37 = 49
-7b = 49

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

Simplifying
b = -7