(5b-1)-2(2b+4)=-7

Solution for (5b-1)-2(2b+4)=-7 equation:

Simplifying
(5b + -1) + -2(2b + 4) = -7

Reorder the terms:
(-1 + 5b) + -2(2b + 4) = -7

Remove parenthesis around (-1 + 5b)
-1 + 5b + -2(2b + 4) = -7

Reorder the terms:
-1 + 5b + -2(4 + 2b) = -7
-1 + 5b + (4 * -2 + 2b * -2) = -7
-1 + 5b + (-8 + -4b) = -7

Reorder the terms:
-1 + -8 + 5b + -4b = -7

Combine like terms: -1 + -8 = -9
-9 + 5b + -4b = -7

Combine like terms: 5b + -4b = 1b
-9 + 1b = -7

Solving
-9 + 1b = -7

Solving for variable 'b'.

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

Add '9' to each side of the equation.
-9 + 9 + 1b = -7 + 9

Combine like terms: -9 + 9 = 0
0 + 1b = -7 + 9
1b = -7 + 9

Combine like terms: -7 + 9 = 2
1b = 2

Divide each side by '1'.
b = 2

Simplifying
b = 2