-8b+2(1+9b)=2(5+4b)

Solution for -8b+2(1+9b)=2(5+4b) equation:

Simplifying
-8b + 2(1 + 9b) = 2(5 + 4b)
-8b + (1 * 2 + 9b * 2) = 2(5 + 4b)
-8b + (2 + 18b) = 2(5 + 4b)

Reorder the terms:
2 + -8b + 18b = 2(5 + 4b)

Combine like terms: -8b + 18b = 10b
2 + 10b = 2(5 + 4b)
2 + 10b = (5 * 2 + 4b * 2)
2 + 10b = (10 + 8b)

Solving
2 + 10b = 10 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
2 + 10b + -8b = 10 + 8b + -8b

Combine like terms: 10b + -8b = 2b
2 + 2b = 10 + 8b + -8b

Combine like terms: 8b + -8b = 0
2 + 2b = 10 + 0
2 + 2b = 10

Add '-2' to each side of the equation.
2 + -2 + 2b = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 2b = 10 + -2
2b = 10 + -2

Combine like terms: 10 + -2 = 8
2b = 8

Divide each side by '2'.
b = 4

Simplifying
b = 4