-10(1+4b)+12=6(7b-8)+6

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Solution for -10(1+4b)+12=6(7b-8)+6 equation: 


Simplifying
-10(1 + 4b) + 12 = 6(7b + -8) + 6
(1 * -10 + 4b * -10) + 12 = 6(7b + -8) + 6
(-10 + -40b) + 12 = 6(7b + -8) + 6

Reorder the terms:
-10 + 12 + -40b = 6(7b + -8) + 6

Combine like terms: -10 + 12 = 2
2 + -40b = 6(7b + -8) + 6

Reorder the terms:
2 + -40b = 6(-8 + 7b) + 6
2 + -40b = (-8 * 6 + 7b * 6) + 6
2 + -40b = (-48 + 42b) + 6

Reorder the terms:
2 + -40b = -48 + 6 + 42b

Combine like terms: -48 + 6 = -42
2 + -40b = -42 + 42b

Solving
2 + -40b = -42 + 42b

Solving for variable 'b'.

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

Add '-42b' to each side of the equation.
2 + -40b + -42b = -42 + 42b + -42b

Combine like terms: -40b + -42b = -82b
2 + -82b = -42 + 42b + -42b

Combine like terms: 42b + -42b = 0
2 + -82b = -42 + 0
2 + -82b = -42

Add '-2' to each side of the equation.
2 + -2 + -82b = -42 + -2

Combine like terms: 2 + -2 = 0
0 + -82b = -42 + -2
-82b = -42 + -2

Combine like terms: -42 + -2 = -44
-82b = -44

Divide each side by '-82'.
b = 0.5365853659

Simplifying
b = 0.5365853659

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