5b+2(3b+1)=3b+5

Solution for 5b+2(3b+1)=3b+5 equation:

Simplifying
5b + 2(3b + 1) = 3b + 5

Reorder the terms:
5b + 2(1 + 3b) = 3b + 5
5b + (1 * 2 + 3b * 2) = 3b + 5
5b + (2 + 6b) = 3b + 5

Reorder the terms:
2 + 5b + 6b = 3b + 5

Combine like terms: 5b + 6b = 11b
2 + 11b = 3b + 5

Reorder the terms:
2 + 11b = 5 + 3b

Solving
2 + 11b = 5 + 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.
2 + 11b + -3b = 5 + 3b + -3b

Combine like terms: 11b + -3b = 8b
2 + 8b = 5 + 3b + -3b

Combine like terms: 3b + -3b = 0
2 + 8b = 5 + 0
2 + 8b = 5

Add '-2' to each side of the equation.
2 + -2 + 8b = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 8b = 5 + -2
8b = 5 + -2

Combine like terms: 5 + -2 = 3
8b = 3

Divide each side by '8'.
b = 0.375

Simplifying
b = 0.375