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

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


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

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

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

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

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

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

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

Solving
-4 + 1x = 8

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 = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 8 + 4
1x = 8 + 4

Combine like terms: 8 + 4 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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