(4b-3)-(3-2b)=30

Solution for (4b-3)-(3-2b)=30 equation:

Simplifying
(4b + -3) + -1(3 + -2b) = 30

Reorder the terms:
(-3 + 4b) + -1(3 + -2b) = 30

Remove parenthesis around (-3 + 4b)
-3 + 4b + -1(3 + -2b) = 30
-3 + 4b + (3 * -1 + -2b * -1) = 30
-3 + 4b + (-3 + 2b) = 30

Reorder the terms:
-3 + -3 + 4b + 2b = 30

Combine like terms: -3 + -3 = -6
-6 + 4b + 2b = 30

Combine like terms: 4b + 2b = 6b
-6 + 6b = 30

Solving
-6 + 6b = 30

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 6b = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 6b = 30 + 6
6b = 30 + 6

Combine like terms: 30 + 6 = 36
6b = 36

Divide each side by '6'.
b = 6

Simplifying
b = 6