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

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

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

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

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

Solving
3 + -1b = 2 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
3 + -1b + -6b = 2 + 6b + -6b

Combine like terms: -1b + -6b = -7b
3 + -7b = 2 + 6b + -6b

Combine like terms: 6b + -6b = 0
3 + -7b = 2 + 0
3 + -7b = 2

Add '-3' to each side of the equation.
3 + -3 + -7b = 2 + -3

Combine like terms: 3 + -3 = 0
0 + -7b = 2 + -3
-7b = 2 + -3

Combine like terms: 2 + -3 = -1
-7b = -1

Divide each side by '-7'.
b = 0.1428571429

Simplifying
b = 0.1428571429