(X-8)-(x+2)=2x

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Solution for (X-8)-(x+2)=2x equation:


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

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

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

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

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

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

Solving
-10 + X + -1x = 2x

Solving for variable 'X'.

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

Add '10' to each side of the equation.
-10 + X + 10 + -1x = 10 + 2x

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

Combine like terms: -10 + 10 = 0
0 + X + -1x = 10 + 2x
X + -1x = 10 + 2x

Add 'x' to each side of the equation.
X + -1x + x = 10 + 2x + x

Combine like terms: -1x + x = 0
X + 0 = 10 + 2x + x
X = 10 + 2x + x

Combine like terms: 2x + x = 3x
X = 10 + 3x

Simplifying
X = 10 + 3x

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