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

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

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

Reorder the terms:
9 + -3(5 + b) = -5(3b + -9)
9 + (5 * -3 + b * -3) = -5(3b + -9)
9 + (-15 + -3b) = -5(3b + -9)

Combine like terms: 9 + -15 = -6
-6 + -3b = -5(3b + -9)

Reorder the terms:
-6 + -3b = -5(-9 + 3b)
-6 + -3b = (-9 * -5 + 3b * -5)
-6 + -3b = (45 + -15b)

Solving
-6 + -3b = 45 + -15b

Solving for variable 'b'.

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

Add '15b' to each side of the equation.
-6 + -3b + 15b = 45 + -15b + 15b

Combine like terms: -3b + 15b = 12b
-6 + 12b = 45 + -15b + 15b

Combine like terms: -15b + 15b = 0
-6 + 12b = 45 + 0
-6 + 12b = 45

Add '6' to each side of the equation.
-6 + 6 + 12b = 45 + 6

Combine like terms: -6 + 6 = 0
0 + 12b = 45 + 6
12b = 45 + 6

Combine like terms: 45 + 6 = 51
12b = 51

Divide each side by '12'.
b = 4.25

Simplifying
b = 4.25