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

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

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

Reorder the terms:
2(3 + 5b) = -1(1 + -3b)
(3 * 2 + 5b * 2) = -1(1 + -3b)
(6 + 10b) = -1(1 + -3b)
6 + 10b = (1 * -1 + -3b * -1)
6 + 10b = (-1 + 3b)

Solving
6 + 10b = -1 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
6 + 10b + -3b = -1 + 3b + -3b

Combine like terms: 10b + -3b = 7b
6 + 7b = -1 + 3b + -3b

Combine like terms: 3b + -3b = 0
6 + 7b = -1 + 0
6 + 7b = -1

Add '-6' to each side of the equation.
6 + -6 + 7b = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 7b = -1 + -6
7b = -1 + -6

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

Divide each side by '7'.
b = -1

Simplifying
b = -1