(2x-8)-(x-6)=8

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Solution for (2x-8)-(x-6)=8 equation:


Simplifying
(2x + -8) + -1(x + -6) = 8

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

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

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

Reorder the terms:
-8 + 6 + 2x + -1x = 8

Combine like terms: -8 + 6 = -2
-2 + 2x + -1x = 8

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

Solving
-2 + 1x = 8

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 = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 8 + 2
1x = 8 + 2

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

Divide each side by '1'.
x = 10

Simplifying
x = 10

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