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

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

Simplifying
3(2b + 4) + -2(b + -5) = 0

Reorder the terms:
3(4 + 2b) + -2(b + -5) = 0
(4 * 3 + 2b * 3) + -2(b + -5) = 0
(12 + 6b) + -2(b + -5) = 0

Reorder the terms:
12 + 6b + -2(-5 + b) = 0
12 + 6b + (-5 * -2 + b * -2) = 0
12 + 6b + (10 + -2b) = 0

Reorder the terms:
12 + 10 + 6b + -2b = 0

Combine like terms: 12 + 10 = 22
22 + 6b + -2b = 0

Combine like terms: 6b + -2b = 4b
22 + 4b = 0

Solving
22 + 4b = 0

Solving for variable 'b'.

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

Add '-22' to each side of the equation.
22 + -22 + 4b = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 4b = 0 + -22
4b = 0 + -22

Combine like terms: 0 + -22 = -22
4b = -22

Divide each side by '4'.
b = -5.5

Simplifying
b = -5.5