4-1(3b+2)=2(2b+3)

Solution for 4-1(3b+2)=2(2b+3) equation:

Simplifying
4 + -1(3b + 2) = 2(2b + 3)

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

Combine like terms: 4 + -2 = 2
2 + -3b = 2(2b + 3)

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

Solving
2 + -3b = 6 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
2 + -3b + -4b = 6 + 4b + -4b

Combine like terms: -3b + -4b = -7b
2 + -7b = 6 + 4b + -4b

Combine like terms: 4b + -4b = 0
2 + -7b = 6 + 0
2 + -7b = 6

Add '-2' to each side of the equation.
2 + -2 + -7b = 6 + -2

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

Combine like terms: 6 + -2 = 4
-7b = 4

Divide each side by '-7'.
b = -0.5714285714

Simplifying
b = -0.5714285714