(2b-9)=-(b-6)

Solution for (2b-9)=-(b-6) equation:

Simplifying
(2b + -9) = -1(b + -6)

Reorder the terms:
(-9 + 2b) = -1(b + -6)

Remove parenthesis around (-9 + 2b)
-9 + 2b = -1(b + -6)

Reorder the terms:
-9 + 2b = -1(-6 + b)
-9 + 2b = (-6 * -1 + b * -1)
-9 + 2b = (6 + -1b)

Solving
-9 + 2b = 6 + -1b

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
-9 + 2b + b = 6 + -1b + b

Combine like terms: 2b + b = 3b
-9 + 3b = 6 + -1b + b

Combine like terms: -1b + b = 0
-9 + 3b = 6 + 0
-9 + 3b = 6

Add '9' to each side of the equation.
-9 + 9 + 3b = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 3b = 6 + 9
3b = 6 + 9

Combine like terms: 6 + 9 = 15
3b = 15

Divide each side by '3'.
b = 5

Simplifying
b = 5