2-3(b+2)=-7(-5b-6)-8

Solution for 2-3(b+2)=-7(-5b-6)-8 equation:

Simplifying
2 + -3(b + 2) = -7(-5b + -6) + -8

Reorder the terms:
2 + -3(2 + b) = -7(-5b + -6) + -8
2 + (2 * -3 + b * -3) = -7(-5b + -6) + -8
2 + (-6 + -3b) = -7(-5b + -6) + -8

Combine like terms: 2 + -6 = -4
-4 + -3b = -7(-5b + -6) + -8

Reorder the terms:
-4 + -3b = -7(-6 + -5b) + -8
-4 + -3b = (-6 * -7 + -5b * -7) + -8
-4 + -3b = (42 + 35b) + -8

Reorder the terms:
-4 + -3b = 42 + -8 + 35b

Combine like terms: 42 + -8 = 34
-4 + -3b = 34 + 35b

Solving
-4 + -3b = 34 + 35b

Solving for variable 'b'.

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

Add '-35b' to each side of the equation.
-4 + -3b + -35b = 34 + 35b + -35b

Combine like terms: -3b + -35b = -38b
-4 + -38b = 34 + 35b + -35b

Combine like terms: 35b + -35b = 0
-4 + -38b = 34 + 0
-4 + -38b = 34

Add '4' to each side of the equation.
-4 + 4 + -38b = 34 + 4

Combine like terms: -4 + 4 = 0
0 + -38b = 34 + 4
-38b = 34 + 4

Combine like terms: 34 + 4 = 38
-38b = 38

Divide each side by '-38'.
b = -1

Simplifying
b = -1