5b-7b=-4(b+2)+4(b-6)

Solution for 5b-7b=-4(b+2)+4(b-6) equation:

Simplifying
5b + -7b = -4(b + 2) + 4(b + -6)

Combine like terms: 5b + -7b = -2b
-2b = -4(b + 2) + 4(b + -6)

Reorder the terms:
-2b = -4(2 + b) + 4(b + -6)
-2b = (2 * -4 + b * -4) + 4(b + -6)
-2b = (-8 + -4b) + 4(b + -6)

Reorder the terms:
-2b = -8 + -4b + 4(-6 + b)
-2b = -8 + -4b + (-6 * 4 + b * 4)
-2b = -8 + -4b + (-24 + 4b)

Reorder the terms:
-2b = -8 + -24 + -4b + 4b

Combine like terms: -8 + -24 = -32
-2b = -32 + -4b + 4b

Combine like terms: -4b + 4b = 0
-2b = -32 + 0
-2b = -32

Solving
-2b = -32

Solving for variable 'b'.

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

Divide each side by '-2'.
b = 16

Simplifying
b = 16