2(b+5)+6b=5b+2b+1

Solution for 2(b+5)+6b=5b+2b+1 equation:

Simplifying
2(b + 5) + 6b = 5b + 2b + 1

Reorder the terms:
2(5 + b) + 6b = 5b + 2b + 1
(5 * 2 + b * 2) + 6b = 5b + 2b + 1
(10 + 2b) + 6b = 5b + 2b + 1

Combine like terms: 2b + 6b = 8b
10 + 8b = 5b + 2b + 1

Reorder the terms:
10 + 8b = 1 + 5b + 2b

Combine like terms: 5b + 2b = 7b
10 + 8b = 1 + 7b

Solving
10 + 8b = 1 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
10 + 8b + -7b = 1 + 7b + -7b

Combine like terms: 8b + -7b = 1b
10 + 1b = 1 + 7b + -7b

Combine like terms: 7b + -7b = 0
10 + 1b = 1 + 0
10 + 1b = 1

Add '-10' to each side of the equation.
10 + -10 + 1b = 1 + -10

Combine like terms: 10 + -10 = 0
0 + 1b = 1 + -10
1b = 1 + -10

Combine like terms: 1 + -10 = -9
1b = -9

Divide each side by '1'.
b = -9

Simplifying
b = -9