-2(3b+1)+(7b-3)=0

Solution for -2(3b+1)+(7b-3)=0 equation:

Simplifying
-2(3b + 1) + (7b + -3) = 0

Reorder the terms:
-2(1 + 3b) + (7b + -3) = 0
(1 * -2 + 3b * -2) + (7b + -3) = 0
(-2 + -6b) + (7b + -3) = 0

Reorder the terms:
-2 + -6b + (-3 + 7b) = 0

Remove parenthesis around (-3 + 7b)
-2 + -6b + -3 + 7b = 0

Reorder the terms:
-2 + -3 + -6b + 7b = 0

Combine like terms: -2 + -3 = -5
-5 + -6b + 7b = 0

Combine like terms: -6b + 7b = 1b
-5 + 1b = 0

Solving
-5 + 1b = 0

Solving for variable 'b'.

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

Add '5' to each side of the equation.
-5 + 5 + 1b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 1b = 0 + 5
1b = 0 + 5

Combine like terms: 0 + 5 = 5
1b = 5

Divide each side by '1'.
b = 5

Simplifying
b = 5