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

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


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

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

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

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

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

Solving
-8 + -1x = 1

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 1 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 1 + 8
-1x = 1 + 8

Combine like terms: 1 + 8 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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