(2x-8)-(x-4)=2

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Solution for (2x-8)-(x-4)=2 equation:


Simplifying
(2x + -8) + -1(x + -4) = 2

Reorder the terms:
(-8 + 2x) + -1(x + -4) = 2

Remove parenthesis around (-8 + 2x)
-8 + 2x + -1(x + -4) = 2

Reorder the terms:
-8 + 2x + -1(-4 + x) = 2
-8 + 2x + (-4 * -1 + x * -1) = 2
-8 + 2x + (4 + -1x) = 2

Reorder the terms:
-8 + 4 + 2x + -1x = 2

Combine like terms: -8 + 4 = -4
-4 + 2x + -1x = 2

Combine like terms: 2x + -1x = 1x
-4 + 1x = 2

Solving
-4 + 1x = 2

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 1x = 2 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 2 + 4
1x = 2 + 4

Combine like terms: 2 + 4 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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