2(6b+1)=4(b-5)-2

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Solution for 2(6b+1)=4(b-5)-2 equation: 


Simplifying
2(6b + 1) = 4(b + -5) + -2

Reorder the terms:
2(1 + 6b) = 4(b + -5) + -2
(1 * 2 + 6b * 2) = 4(b + -5) + -2
(2 + 12b) = 4(b + -5) + -2

Reorder the terms:
2 + 12b = 4(-5 + b) + -2
2 + 12b = (-5 * 4 + b * 4) + -2
2 + 12b = (-20 + 4b) + -2

Reorder the terms:
2 + 12b = -20 + -2 + 4b

Combine like terms: -20 + -2 = -22
2 + 12b = -22 + 4b

Solving
2 + 12b = -22 + 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.
2 + 12b + -4b = -22 + 4b + -4b

Combine like terms: 12b + -4b = 8b
2 + 8b = -22 + 4b + -4b

Combine like terms: 4b + -4b = 0
2 + 8b = -22 + 0
2 + 8b = -22

Add '-2' to each side of the equation.
2 + -2 + 8b = -22 + -2

Combine like terms: 2 + -2 = 0
0 + 8b = -22 + -2
8b = -22 + -2

Combine like terms: -22 + -2 = -24
8b = -24

Divide each side by '8'.
b = -3

Simplifying
b = -3

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