5-4(b-4)=17-2b

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Solution for 5-4(b-4)=17-2b equation:


Simplifying
5 + -4(b + -4) = 17 + -2b

Reorder the terms:
5 + -4(-4 + b) = 17 + -2b
5 + (-4 * -4 + b * -4) = 17 + -2b
5 + (16 + -4b) = 17 + -2b

Combine like terms: 5 + 16 = 21
21 + -4b = 17 + -2b

Solving
21 + -4b = 17 + -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.
21 + -4b + 2b = 17 + -2b + 2b

Combine like terms: -4b + 2b = -2b
21 + -2b = 17 + -2b + 2b

Combine like terms: -2b + 2b = 0
21 + -2b = 17 + 0
21 + -2b = 17

Add '-21' to each side of the equation.
21 + -21 + -2b = 17 + -21

Combine like terms: 21 + -21 = 0
0 + -2b = 17 + -21
-2b = 17 + -21

Combine like terms: 17 + -21 = -4
-2b = -4

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

Simplifying
b = 2

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