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

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

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

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

Combine like terms: 2b + -3b = -1b
2 + -1b = 3(3 + 2b)
2 + -1b = (3 * 3 + 2b * 3)
2 + -1b = (9 + 6b)

Solving
2 + -1b = 9 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
2 + -1b + -6b = 9 + 6b + -6b

Combine like terms: -1b + -6b = -7b
2 + -7b = 9 + 6b + -6b

Combine like terms: 6b + -6b = 0
2 + -7b = 9 + 0
2 + -7b = 9

Add '-2' to each side of the equation.
2 + -2 + -7b = 9 + -2

Combine like terms: 2 + -2 = 0
0 + -7b = 9 + -2
-7b = 9 + -2

Combine like terms: 9 + -2 = 7
-7b = 7

Divide each side by '-7'.
b = -1

Simplifying
b = -1