2(27-b)=100-4b+6(3-b)

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Solution for 2(27-b)=100-4b+6(3-b) equation: 


Simplifying
2(27 + -1b) = 100 + -4b + 6(3 + -1b)
(27 * 2 + -1b * 2) = 100 + -4b + 6(3 + -1b)
(54 + -2b) = 100 + -4b + 6(3 + -1b)
54 + -2b = 100 + -4b + (3 * 6 + -1b * 6)
54 + -2b = 100 + -4b + (18 + -6b)

Reorder the terms:
54 + -2b = 100 + 18 + -4b + -6b

Combine like terms: 100 + 18 = 118
54 + -2b = 118 + -4b + -6b

Combine like terms: -4b + -6b = -10b
54 + -2b = 118 + -10b

Solving
54 + -2b = 118 + -10b

Solving for variable 'b'.

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

Add '10b' to each side of the equation.
54 + -2b + 10b = 118 + -10b + 10b

Combine like terms: -2b + 10b = 8b
54 + 8b = 118 + -10b + 10b

Combine like terms: -10b + 10b = 0
54 + 8b = 118 + 0
54 + 8b = 118

Add '-54' to each side of the equation.
54 + -54 + 8b = 118 + -54

Combine like terms: 54 + -54 = 0
0 + 8b = 118 + -54
8b = 118 + -54

Combine like terms: 118 + -54 = 64
8b = 64

Divide each side by '8'.
b = 8

Simplifying
b = 8

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