8b-6(b-4)=31-5b

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Solution for 8b-6(b-4)=31-5b equation:


Simplifying
8b + -6(b + -4) = 31 + -5b

Reorder the terms:
8b + -6(-4 + b) = 31 + -5b
8b + (-4 * -6 + b * -6) = 31 + -5b
8b + (24 + -6b) = 31 + -5b

Reorder the terms:
24 + 8b + -6b = 31 + -5b

Combine like terms: 8b + -6b = 2b
24 + 2b = 31 + -5b

Solving
24 + 2b = 31 + -5b

Solving for variable 'b'.

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

Add '5b' to each side of the equation.
24 + 2b + 5b = 31 + -5b + 5b

Combine like terms: 2b + 5b = 7b
24 + 7b = 31 + -5b + 5b

Combine like terms: -5b + 5b = 0
24 + 7b = 31 + 0
24 + 7b = 31

Add '-24' to each side of the equation.
24 + -24 + 7b = 31 + -24

Combine like terms: 24 + -24 = 0
0 + 7b = 31 + -24
7b = 31 + -24

Combine like terms: 31 + -24 = 7
7b = 7

Divide each side by '7'.
b = 1

Simplifying
b = 1

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