8-4(b-1)=2+3(4-b)

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Solution for 8-4(b-1)=2+3(4-b) equation: 


Simplifying
8 + -4(b + -1) = 2 + 3(4 + -1b)

Reorder the terms:
8 + -4(-1 + b) = 2 + 3(4 + -1b)
8 + (-1 * -4 + b * -4) = 2 + 3(4 + -1b)
8 + (4 + -4b) = 2 + 3(4 + -1b)

Combine like terms: 8 + 4 = 12
12 + -4b = 2 + 3(4 + -1b)
12 + -4b = 2 + (4 * 3 + -1b * 3)
12 + -4b = 2 + (12 + -3b)

Combine like terms: 2 + 12 = 14
12 + -4b = 14 + -3b

Solving
12 + -4b = 14 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
12 + -4b + 3b = 14 + -3b + 3b

Combine like terms: -4b + 3b = -1b
12 + -1b = 14 + -3b + 3b

Combine like terms: -3b + 3b = 0
12 + -1b = 14 + 0
12 + -1b = 14

Add '-12' to each side of the equation.
12 + -12 + -1b = 14 + -12

Combine like terms: 12 + -12 = 0
0 + -1b = 14 + -12
-1b = 14 + -12

Combine like terms: 14 + -12 = 2
-1b = 2

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

Simplifying
b = -2

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