-5(b-7)=3(2-b)-(-4-2b)

Solution for -5(b-7)=3(2-b)-(-4-2b) equation:

Simplifying
-5(b + -7) = 3(2 + -1b) + -1(-4 + -2b)

Reorder the terms:
-5(-7 + b) = 3(2 + -1b) + -1(-4 + -2b)
(-7 * -5 + b * -5) = 3(2 + -1b) + -1(-4 + -2b)
(35 + -5b) = 3(2 + -1b) + -1(-4 + -2b)
35 + -5b = (2 * 3 + -1b * 3) + -1(-4 + -2b)
35 + -5b = (6 + -3b) + -1(-4 + -2b)
35 + -5b = 6 + -3b + (-4 * -1 + -2b * -1)
35 + -5b = 6 + -3b + (4 + 2b)

Reorder the terms:
35 + -5b = 6 + 4 + -3b + 2b

Combine like terms: 6 + 4 = 10
35 + -5b = 10 + -3b + 2b

Combine like terms: -3b + 2b = -1b
35 + -5b = 10 + -1b

Solving
35 + -5b = 10 + -1b

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
35 + -5b + b = 10 + -1b + b

Combine like terms: -5b + b = -4b
35 + -4b = 10 + -1b + b

Combine like terms: -1b + b = 0
35 + -4b = 10 + 0
35 + -4b = 10

Add '-35' to each side of the equation.
35 + -35 + -4b = 10 + -35

Combine like terms: 35 + -35 = 0
0 + -4b = 10 + -35
-4b = 10 + -35

Combine like terms: 10 + -35 = -25
-4b = -25

Divide each side by '-4'.
b = 6.25

Simplifying
b = 6.25