3(b-5)+8(b+6)=0

Solution for 3(b-5)+8(b+6)=0 equation:

Simplifying
3(b + -5) + 8(b + 6) = 0

Reorder the terms:
3(-5 + b) + 8(b + 6) = 0
(-5 * 3 + b * 3) + 8(b + 6) = 0
(-15 + 3b) + 8(b + 6) = 0

Reorder the terms:
-15 + 3b + 8(6 + b) = 0
-15 + 3b + (6 * 8 + b * 8) = 0
-15 + 3b + (48 + 8b) = 0

Reorder the terms:
-15 + 48 + 3b + 8b = 0

Combine like terms: -15 + 48 = 33
33 + 3b + 8b = 0

Combine like terms: 3b + 8b = 11b
33 + 11b = 0

Solving
33 + 11b = 0

Solving for variable 'b'.

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

Add '-33' to each side of the equation.
33 + -33 + 11b = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 11b = 0 + -33
11b = 0 + -33

Combine like terms: 0 + -33 = -33
11b = -33

Divide each side by '11'.
b = -3

Simplifying
b = -3