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

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


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

Reorder the terms:
-6(-5 + b) + -1 = 8b + -1(1 + -1b)
(-5 * -6 + b * -6) + -1 = 8b + -1(1 + -1b)
(30 + -6b) + -1 = 8b + -1(1 + -1b)

Reorder the terms:
30 + -1 + -6b = 8b + -1(1 + -1b)

Combine like terms: 30 + -1 = 29
29 + -6b = 8b + -1(1 + -1b)
29 + -6b = 8b + (1 * -1 + -1b * -1)
29 + -6b = 8b + (-1 + 1b)

Reorder the terms:
29 + -6b = -1 + 8b + 1b

Combine like terms: 8b + 1b = 9b
29 + -6b = -1 + 9b

Solving
29 + -6b = -1 + 9b

Solving for variable 'b'.

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

Add '-9b' to each side of the equation.
29 + -6b + -9b = -1 + 9b + -9b

Combine like terms: -6b + -9b = -15b
29 + -15b = -1 + 9b + -9b

Combine like terms: 9b + -9b = 0
29 + -15b = -1 + 0
29 + -15b = -1

Add '-29' to each side of the equation.
29 + -29 + -15b = -1 + -29

Combine like terms: 29 + -29 = 0
0 + -15b = -1 + -29
-15b = -1 + -29

Combine like terms: -1 + -29 = -30
-15b = -30

Divide each side by '-15'.
b = 2

Simplifying
b = 2

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