3(2b-1)=5(4b-1)-4(3b-2)

Solution for 3(2b-1)=5(4b-1)-4(3b-2) equation:

Simplifying
3(2b + -1) = 5(4b + -1) + -4(3b + -2)

Reorder the terms:
3(-1 + 2b) = 5(4b + -1) + -4(3b + -2)
(-1 * 3 + 2b * 3) = 5(4b + -1) + -4(3b + -2)
(-3 + 6b) = 5(4b + -1) + -4(3b + -2)

Reorder the terms:
-3 + 6b = 5(-1 + 4b) + -4(3b + -2)
-3 + 6b = (-1 * 5 + 4b * 5) + -4(3b + -2)
-3 + 6b = (-5 + 20b) + -4(3b + -2)

Reorder the terms:
-3 + 6b = -5 + 20b + -4(-2 + 3b)
-3 + 6b = -5 + 20b + (-2 * -4 + 3b * -4)
-3 + 6b = -5 + 20b + (8 + -12b)

Reorder the terms:
-3 + 6b = -5 + 8 + 20b + -12b

Combine like terms: -5 + 8 = 3
-3 + 6b = 3 + 20b + -12b

Combine like terms: 20b + -12b = 8b
-3 + 6b = 3 + 8b

Solving
-3 + 6b = 3 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
-3 + 6b + -8b = 3 + 8b + -8b

Combine like terms: 6b + -8b = -2b
-3 + -2b = 3 + 8b + -8b

Combine like terms: 8b + -8b = 0
-3 + -2b = 3 + 0
-3 + -2b = 3

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

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

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

Divide each side by '-2'.
b = -3

Simplifying
b = -3