(x-16)-(8-2x)=1

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Solution for (x-16)-(8-2x)=1 equation: 


Simplifying
(x + -16) + -1(8 + -2x) = 1

Reorder the terms:
(-16 + x) + -1(8 + -2x) = 1

Remove parenthesis around (-16 + x)
-16 + x + -1(8 + -2x) = 1
-16 + x + (8 * -1 + -2x * -1) = 1
-16 + x + (-8 + 2x) = 1

Reorder the terms:
-16 + -8 + x + 2x = 1

Combine like terms: -16 + -8 = -24
-24 + x + 2x = 1

Combine like terms: x + 2x = 3x
-24 + 3x = 1

Solving
-24 + 3x = 1

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 3x = 1 + 24

Combine like terms: -24 + 24 = 0
0 + 3x = 1 + 24
3x = 1 + 24

Combine like terms: 1 + 24 = 25
3x = 25

Divide each side by '3'.
x = 8.333333333

Simplifying
x = 8.333333333

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