-3b-5(b+3)=1-8(6+5b)

Solution for -3b-5(b+3)=1-8(6+5b) equation:

Simplifying
-3b + -5(b + 3) = 1 + -8(6 + 5b)

Reorder the terms:
-3b + -5(3 + b) = 1 + -8(6 + 5b)
-3b + (3 * -5 + b * -5) = 1 + -8(6 + 5b)
-3b + (-15 + -5b) = 1 + -8(6 + 5b)

Reorder the terms:
-15 + -3b + -5b = 1 + -8(6 + 5b)

Combine like terms: -3b + -5b = -8b
-15 + -8b = 1 + -8(6 + 5b)
-15 + -8b = 1 + (6 * -8 + 5b * -8)
-15 + -8b = 1 + (-48 + -40b)

Combine like terms: 1 + -48 = -47
-15 + -8b = -47 + -40b

Solving
-15 + -8b = -47 + -40b

Solving for variable 'b'.

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

Add '40b' to each side of the equation.
-15 + -8b + 40b = -47 + -40b + 40b

Combine like terms: -8b + 40b = 32b
-15 + 32b = -47 + -40b + 40b

Combine like terms: -40b + 40b = 0
-15 + 32b = -47 + 0
-15 + 32b = -47

Add '15' to each side of the equation.
-15 + 15 + 32b = -47 + 15

Combine like terms: -15 + 15 = 0
0 + 32b = -47 + 15
32b = -47 + 15

Combine like terms: -47 + 15 = -32
32b = -32

Divide each side by '32'.
b = -1

Simplifying
b = -1