4(2b+9)-4b=3b*6+5

Solution for 4(2b+9)-4b=3b*6+5 equation:

Simplifying
4(2b + 9) + -4b = 3b * 6 + 5

Reorder the terms:
4(9 + 2b) + -4b = 3b * 6 + 5
(9 * 4 + 2b * 4) + -4b = 3b * 6 + 5
(36 + 8b) + -4b = 3b * 6 + 5

Combine like terms: 8b + -4b = 4b
36 + 4b = 3b * 6 + 5

Reorder the terms for easier multiplication:
36 + 4b = 3 * 6b + 5

Multiply 3 * 6
36 + 4b = 18b + 5

Reorder the terms:
36 + 4b = 5 + 18b

Solving
36 + 4b = 5 + 18b

Solving for variable 'b'.

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

Add '-18b' to each side of the equation.
36 + 4b + -18b = 5 + 18b + -18b

Combine like terms: 4b + -18b = -14b
36 + -14b = 5 + 18b + -18b

Combine like terms: 18b + -18b = 0
36 + -14b = 5 + 0
36 + -14b = 5

Add '-36' to each side of the equation.
36 + -36 + -14b = 5 + -36

Combine like terms: 36 + -36 = 0
0 + -14b = 5 + -36
-14b = 5 + -36

Combine like terms: 5 + -36 = -31
-14b = -31

Divide each side by '-14'.
b = 2.214285714

Simplifying
b = 2.214285714