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

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Solution for b-3+7b=-(b-2)-5(1-b) equation:


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

Reorder the terms:
-3 + b + 7b = -1(b + -2) + -5(1 + -1b)

Combine like terms: b + 7b = 8b
-3 + 8b = -1(b + -2) + -5(1 + -1b)

Reorder the terms:
-3 + 8b = -1(-2 + b) + -5(1 + -1b)
-3 + 8b = (-2 * -1 + b * -1) + -5(1 + -1b)
-3 + 8b = (2 + -1b) + -5(1 + -1b)
-3 + 8b = 2 + -1b + (1 * -5 + -1b * -5)
-3 + 8b = 2 + -1b + (-5 + 5b)

Reorder the terms:
-3 + 8b = 2 + -5 + -1b + 5b

Combine like terms: 2 + -5 = -3
-3 + 8b = -3 + -1b + 5b

Combine like terms: -1b + 5b = 4b
-3 + 8b = -3 + 4b

Add '3' to each side of the equation.
-3 + 3 + 8b = -3 + 3 + 4b

Combine like terms: -3 + 3 = 0
0 + 8b = -3 + 3 + 4b
8b = -3 + 3 + 4b

Combine like terms: -3 + 3 = 0
8b = 0 + 4b
8b = 4b

Solving
8b = 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
8b + -4b = 4b + -4b

Combine like terms: 8b + -4b = 4b
4b = 4b + -4b

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

Divide each side by '4'.
b = 0

Simplifying
b = 0

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