-5(b-5)+6=1-4(b-8)

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Solution for -5(b-5)+6=1-4(b-8) equation: 


Simplifying
-5(b + -5) + 6 = 1 + -4(b + -8)

Reorder the terms:
-5(-5 + b) + 6 = 1 + -4(b + -8)
(-5 * -5 + b * -5) + 6 = 1 + -4(b + -8)
(25 + -5b) + 6 = 1 + -4(b + -8)

Reorder the terms:
25 + 6 + -5b = 1 + -4(b + -8)

Combine like terms: 25 + 6 = 31
31 + -5b = 1 + -4(b + -8)

Reorder the terms:
31 + -5b = 1 + -4(-8 + b)
31 + -5b = 1 + (-8 * -4 + b * -4)
31 + -5b = 1 + (32 + -4b)

Combine like terms: 1 + 32 = 33
31 + -5b = 33 + -4b

Solving
31 + -5b = 33 + -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.
31 + -5b + 4b = 33 + -4b + 4b

Combine like terms: -5b + 4b = -1b
31 + -1b = 33 + -4b + 4b

Combine like terms: -4b + 4b = 0
31 + -1b = 33 + 0
31 + -1b = 33

Add '-31' to each side of the equation.
31 + -31 + -1b = 33 + -31

Combine like terms: 31 + -31 = 0
0 + -1b = 33 + -31
-1b = 33 + -31

Combine like terms: 33 + -31 = 2
-1b = 2

Divide each side by '-1'.
b = -2

Simplifying
b = -2

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