(24-b)+(20-(24-b))=x-b

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Solution for (24-b)+(20-(24-b))=x-b equation:


Simplifying
(24 + -1b) + (20 + -1(24 + -1b)) = x + -1b

Remove parenthesis around (24 + -1b)
24 + -1b + (20 + -1(24 + -1b)) = x + -1b
24 + -1b + (20 + (24 * -1 + -1b * -1)) = x + -1b
24 + -1b + (20 + (-24 + 1b)) = x + -1b

Combine like terms: 20 + -24 = -4
24 + -1b + (-4 + 1b) = x + -1b

Remove parenthesis around (-4 + 1b)
24 + -1b + -4 + 1b = x + -1b

Reorder the terms:
24 + -4 + -1b + 1b = x + -1b

Combine like terms: 24 + -4 = 20
20 + -1b + 1b = x + -1b

Combine like terms: -1b + 1b = 0
20 + 0 = x + -1b
20 = x + -1b

Reorder the terms:
20 = -1b + x

Solving
20 = -1b + x

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
20 + b = -1b + b + x

Combine like terms: -1b + b = 0
20 + b = 0 + x
20 + b = x

Add '-20' to each side of the equation.
20 + -20 + b = -20 + x

Combine like terms: 20 + -20 = 0
0 + b = -20 + x
b = -20 + x

Simplifying
b = -20 + x

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