7b+3(b-1)+3=2(b+8)

Solution for 7b+3(b-1)+3=2(b+8) equation:

Simplifying
7b + 3(b + -1) + 3 = 2(b + 8)

Reorder the terms:
7b + 3(-1 + b) + 3 = 2(b + 8)
7b + (-1 * 3 + b * 3) + 3 = 2(b + 8)
7b + (-3 + 3b) + 3 = 2(b + 8)

Reorder the terms:
-3 + 3 + 7b + 3b = 2(b + 8)

Combine like terms: -3 + 3 = 0
0 + 7b + 3b = 2(b + 8)
7b + 3b = 2(b + 8)

Combine like terms: 7b + 3b = 10b
10b = 2(b + 8)

Reorder the terms:
10b = 2(8 + b)
10b = (8 * 2 + b * 2)
10b = (16 + 2b)

Solving
10b = 16 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
10b + -2b = 16 + 2b + -2b

Combine like terms: 10b + -2b = 8b
8b = 16 + 2b + -2b

Combine like terms: 2b + -2b = 0
8b = 16 + 0
8b = 16

Divide each side by '8'.
b = 2

Simplifying
b = 2