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

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


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

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

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

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

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

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

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

Solving
-8 + -1x = 2

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 = 2 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 2 + 8
-1x = 2 + 8

Combine like terms: 2 + 8 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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