(x-16)-(2x-10)=2

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Solution for (x-16)-(2x-10)=2 equation:


Simplifying
(x + -16) + -1(2x + -10) = 2

Reorder the terms:
(-16 + x) + -1(2x + -10) = 2

Remove parenthesis around (-16 + x)
-16 + x + -1(2x + -10) = 2

Reorder the terms:
-16 + x + -1(-10 + 2x) = 2
-16 + x + (-10 * -1 + 2x * -1) = 2
-16 + x + (10 + -2x) = 2

Reorder the terms:
-16 + 10 + x + -2x = 2

Combine like terms: -16 + 10 = -6
-6 + x + -2x = 2

Combine like terms: x + -2x = -1x
-6 + -1x = 2

Solving
-6 + -1x = 2

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 2 + 6
-1x = 2 + 6

Combine like terms: 2 + 6 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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