-4b-2+5-3b-4=3(5b+7)

Solution for -4b-2+5-3b-4=3(5b+7) equation:

Simplifying
-4b + -2 + 5 + -3b + -4 = 3(5b + 7)

Reorder the terms:
-2 + 5 + -4 + -4b + -3b = 3(5b + 7)

Combine like terms: -2 + 5 = 3
3 + -4 + -4b + -3b = 3(5b + 7)

Combine like terms: 3 + -4 = -1
-1 + -4b + -3b = 3(5b + 7)

Combine like terms: -4b + -3b = -7b
-1 + -7b = 3(5b + 7)

Reorder the terms:
-1 + -7b = 3(7 + 5b)
-1 + -7b = (7 * 3 + 5b * 3)
-1 + -7b = (21 + 15b)

Solving
-1 + -7b = 21 + 15b

Solving for variable 'b'.

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

Add '-15b' to each side of the equation.
-1 + -7b + -15b = 21 + 15b + -15b

Combine like terms: -7b + -15b = -22b
-1 + -22b = 21 + 15b + -15b

Combine like terms: 15b + -15b = 0
-1 + -22b = 21 + 0
-1 + -22b = 21

Add '1' to each side of the equation.
-1 + 1 + -22b = 21 + 1

Combine like terms: -1 + 1 = 0
0 + -22b = 21 + 1
-22b = 21 + 1

Combine like terms: 21 + 1 = 22
-22b = 22

Divide each side by '-22'.
b = -1

Simplifying
b = -1