9(b-5)=2(6b+5)

Solution for 9(b-5)=2(6b+5) equation:

Simplifying
9(b + -5) = 2(6b + 5)

Reorder the terms:
9(-5 + b) = 2(6b + 5)
(-5 * 9 + b * 9) = 2(6b + 5)
(-45 + 9b) = 2(6b + 5)

Reorder the terms:
-45 + 9b = 2(5 + 6b)
-45 + 9b = (5 * 2 + 6b * 2)
-45 + 9b = (10 + 12b)

Solving
-45 + 9b = 10 + 12b

Solving for variable 'b'.

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

Add '-12b' to each side of the equation.
-45 + 9b + -12b = 10 + 12b + -12b

Combine like terms: 9b + -12b = -3b
-45 + -3b = 10 + 12b + -12b

Combine like terms: 12b + -12b = 0
-45 + -3b = 10 + 0
-45 + -3b = 10

Add '45' to each side of the equation.
-45 + 45 + -3b = 10 + 45

Combine like terms: -45 + 45 = 0
0 + -3b = 10 + 45
-3b = 10 + 45

Combine like terms: 10 + 45 = 55
-3b = 55

Divide each side by '-3'.
b = -18.33333333

Simplifying
b = -18.33333333