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

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


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

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

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

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

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

Combine like terms: -2x + -1x = -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 = -23
-3x = -23

Divide each side by '-3'.
x = 7.666666667

Simplifying
x = 7.666666667

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