3(4b-1)=2(9b+3)

Solution for 3(4b-1)=2(9b+3) equation:

Simplifying
3(4b + -1) = 2(9b + 3)

Reorder the terms:
3(-1 + 4b) = 2(9b + 3)
(-1 * 3 + 4b * 3) = 2(9b + 3)
(-3 + 12b) = 2(9b + 3)

Reorder the terms:
-3 + 12b = 2(3 + 9b)
-3 + 12b = (3 * 2 + 9b * 2)
-3 + 12b = (6 + 18b)

Solving
-3 + 12b = 6 + 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.
-3 + 12b + -18b = 6 + 18b + -18b

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

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

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

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

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

Divide each side by '-6'.
b = -1.5

Simplifying
b = -1.5