3b-4(2b+5)=3b-6+10

Solution for 3b-4(2b+5)=3b-6+10 equation:

Simplifying
3b + -4(2b + 5) = 3b + -6 + 10

Reorder the terms:
3b + -4(5 + 2b) = 3b + -6 + 10
3b + (5 * -4 + 2b * -4) = 3b + -6 + 10
3b + (-20 + -8b) = 3b + -6 + 10

Reorder the terms:
-20 + 3b + -8b = 3b + -6 + 10

Combine like terms: 3b + -8b = -5b
-20 + -5b = 3b + -6 + 10

Reorder the terms:
-20 + -5b = -6 + 10 + 3b

Combine like terms: -6 + 10 = 4
-20 + -5b = 4 + 3b

Solving
-20 + -5b = 4 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
-20 + -5b + -3b = 4 + 3b + -3b

Combine like terms: -5b + -3b = -8b
-20 + -8b = 4 + 3b + -3b

Combine like terms: 3b + -3b = 0
-20 + -8b = 4 + 0
-20 + -8b = 4

Add '20' to each side of the equation.
-20 + 20 + -8b = 4 + 20

Combine like terms: -20 + 20 = 0
0 + -8b = 4 + 20
-8b = 4 + 20

Combine like terms: 4 + 20 = 24
-8b = 24

Divide each side by '-8'.
b = -3

Simplifying
b = -3