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

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

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

Reorder the terms:
2(1 + 2b) = 3(b + -2)
(1 * 2 + 2b * 2) = 3(b + -2)
(2 + 4b) = 3(b + -2)

Reorder the terms:
2 + 4b = 3(-2 + b)
2 + 4b = (-2 * 3 + b * 3)
2 + 4b = (-6 + 3b)

Solving
2 + 4b = -6 + 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 + 4b + -3b = -6 + 3b + -3b

Combine like terms: 4b + -3b = 1b
2 + 1b = -6 + 3b + -3b

Combine like terms: 3b + -3b = 0
2 + 1b = -6 + 0
2 + 1b = -6

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

Combine like terms: 2 + -2 = 0
0 + 1b = -6 + -2
1b = -6 + -2

Combine like terms: -6 + -2 = -8
1b = -8

Divide each side by '1'.
b = -8

Simplifying
b = -8