6+3(b+4)=5b+(b-9)

Solution for 6+3(b+4)=5b+(b-9) equation:

Simplifying
6 + 3(b + 4) = 5b + (b + -9)

Reorder the terms:
6 + 3(4 + b) = 5b + (b + -9)
6 + (4 * 3 + b * 3) = 5b + (b + -9)
6 + (12 + 3b) = 5b + (b + -9)

Combine like terms: 6 + 12 = 18
18 + 3b = 5b + (b + -9)

Reorder the terms:
18 + 3b = 5b + (-9 + b)

Remove parenthesis around (-9 + b)
18 + 3b = 5b + -9 + b

Reorder the terms:
18 + 3b = -9 + 5b + b

Combine like terms: 5b + b = 6b
18 + 3b = -9 + 6b

Solving
18 + 3b = -9 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
18 + 3b + -6b = -9 + 6b + -6b

Combine like terms: 3b + -6b = -3b
18 + -3b = -9 + 6b + -6b

Combine like terms: 6b + -6b = 0
18 + -3b = -9 + 0
18 + -3b = -9

Add '-18' to each side of the equation.
18 + -18 + -3b = -9 + -18

Combine like terms: 18 + -18 = 0
0 + -3b = -9 + -18
-3b = -9 + -18

Combine like terms: -9 + -18 = -27
-3b = -27

Divide each side by '-3'.
b = 9

Simplifying
b = 9