(X-6)-(2X-8)=3

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Solution for (X-6)-(2X-8)=3 equation:


Simplifying
(X + -6) + -1(2X + -8) = 3

Reorder the terms:
(-6 + X) + -1(2X + -8) = 3

Remove parenthesis around (-6 + X)
-6 + X + -1(2X + -8) = 3

Reorder the terms:
-6 + X + -1(-8 + 2X) = 3
-6 + X + (-8 * -1 + 2X * -1) = 3
-6 + X + (8 + -2X) = 3

Reorder the terms:
-6 + 8 + X + -2X = 3

Combine like terms: -6 + 8 = 2
2 + X + -2X = 3

Combine like terms: X + -2X = -1X
2 + -1X = 3

Solving
2 + -1X = 3

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + -2 + -1X = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -1X = 3 + -2
-1X = 3 + -2

Combine like terms: 3 + -2 = 1
-1X = 1

Divide each side by '-1'.
X = -1

Simplifying
X = -1

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