3(b+4)+2(2b-9)=

Solution for 3(b+4)+2(2b-9)= equation:

Simplifying
3(b + 4) + 2(2b + -9) = 0

Reorder the terms:
3(4 + b) + 2(2b + -9) = 0
(4 * 3 + b * 3) + 2(2b + -9) = 0
(12 + 3b) + 2(2b + -9) = 0

Reorder the terms:
12 + 3b + 2(-9 + 2b) = 0
12 + 3b + (-9 * 2 + 2b * 2) = 0
12 + 3b + (-18 + 4b) = 0

Reorder the terms:
12 + -18 + 3b + 4b = 0

Combine like terms: 12 + -18 = -6
-6 + 3b + 4b = 0

Combine like terms: 3b + 4b = 7b
-6 + 7b = 0

Solving
-6 + 7b = 0

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 7b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7b = 0 + 6
7b = 0 + 6

Combine like terms: 0 + 6 = 6
7b = 6

Divide each side by '7'.
b = 0.8571428571

Simplifying
b = 0.8571428571