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

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


Simplifying
-4(8 + -1b) = 2(b + -3) + -2
(8 * -4 + -1b * -4) = 2(b + -3) + -2
(-32 + 4b) = 2(b + -3) + -2

Reorder the terms:
-32 + 4b = 2(-3 + b) + -2
-32 + 4b = (-3 * 2 + b * 2) + -2
-32 + 4b = (-6 + 2b) + -2

Reorder the terms:
-32 + 4b = -6 + -2 + 2b

Combine like terms: -6 + -2 = -8
-32 + 4b = -8 + 2b

Solving
-32 + 4b = -8 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
-32 + 4b + -2b = -8 + 2b + -2b

Combine like terms: 4b + -2b = 2b
-32 + 2b = -8 + 2b + -2b

Combine like terms: 2b + -2b = 0
-32 + 2b = -8 + 0
-32 + 2b = -8

Add '32' to each side of the equation.
-32 + 32 + 2b = -8 + 32

Combine like terms: -32 + 32 = 0
0 + 2b = -8 + 32
2b = -8 + 32

Combine like terms: -8 + 32 = 24
2b = 24

Divide each side by '2'.
b = 12

Simplifying
b = 12

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