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

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


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

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

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

Combine like terms: 10 + -16 = -6
-6 + -2x + 1x = 2

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