(5b-9)-3(8-2b)=b

Solution for (5b-9)-3(8-2b)=b equation:

Simplifying
(5b + -9) + -3(8 + -2b) = b

Reorder the terms:
(-9 + 5b) + -3(8 + -2b) = b

Remove parenthesis around (-9 + 5b)
-9 + 5b + -3(8 + -2b) = b
-9 + 5b + (8 * -3 + -2b * -3) = b
-9 + 5b + (-24 + 6b) = b

Reorder the terms:
-9 + -24 + 5b + 6b = b

Combine like terms: -9 + -24 = -33
-33 + 5b + 6b = b

Combine like terms: 5b + 6b = 11b
-33 + 11b = b

Solving
-33 + 11b = b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
-33 + 11b + -1b = b + -1b

Combine like terms: 11b + -1b = 10b
-33 + 10b = b + -1b

Combine like terms: b + -1b = 0
-33 + 10b = 0

Add '33' to each side of the equation.
-33 + 33 + 10b = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 10b = 0 + 33
10b = 0 + 33

Combine like terms: 0 + 33 = 33
10b = 33

Divide each side by '10'.
b = 3.3

Simplifying
b = 3.3