2(3b-1)-(4b-6)=3

Solution for 2(3b-1)-(4b-6)=3 equation:

Simplifying
2(3b + -1) + -1(4b + -6) = 3

Reorder the terms:
2(-1 + 3b) + -1(4b + -6) = 3
(-1 * 2 + 3b * 2) + -1(4b + -6) = 3
(-2 + 6b) + -1(4b + -6) = 3

Reorder the terms:
-2 + 6b + -1(-6 + 4b) = 3
-2 + 6b + (-6 * -1 + 4b * -1) = 3
-2 + 6b + (6 + -4b) = 3

Reorder the terms:
-2 + 6 + 6b + -4b = 3

Combine like terms: -2 + 6 = 4
4 + 6b + -4b = 3

Combine like terms: 6b + -4b = 2b
4 + 2b = 3

Solving
4 + 2b = 3

Solving for variable 'b'.

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

Add '-4' to each side of the equation.
4 + -4 + 2b = 3 + -4

Combine like terms: 4 + -4 = 0
0 + 2b = 3 + -4
2b = 3 + -4

Combine like terms: 3 + -4 = -1
2b = -1

Divide each side by '2'.
b = -0.5

Simplifying
b = -0.5