-2(2b+3)+(5b-9)=0

Solution for -2(2b+3)+(5b-9)=0 equation:

Simplifying
-2(2b + 3) + (5b + -9) = 0

Reorder the terms:
-2(3 + 2b) + (5b + -9) = 0
(3 * -2 + 2b * -2) + (5b + -9) = 0
(-6 + -4b) + (5b + -9) = 0

Reorder the terms:
-6 + -4b + (-9 + 5b) = 0

Remove parenthesis around (-9 + 5b)
-6 + -4b + -9 + 5b = 0

Reorder the terms:
-6 + -9 + -4b + 5b = 0

Combine like terms: -6 + -9 = -15
-15 + -4b + 5b = 0

Combine like terms: -4b + 5b = 1b
-15 + 1b = 0

Solving
-15 + 1b = 0

Solving for variable 'b'.

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

Add '15' to each side of the equation.
-15 + 15 + 1b = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 1b = 0 + 15
1b = 0 + 15

Combine like terms: 0 + 15 = 15
1b = 15

Divide each side by '1'.
b = 15

Simplifying
b = 15