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

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


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

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

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

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

Combine like terms: -6 + -8 = -14
-14 + x + 2x = 8

Combine like terms: x + 2x = 3x
-14 + 3x = 8

Solving
-14 + 3x = 8

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 3x = 8 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 8 + 14
3x = 8 + 14

Combine like terms: 8 + 14 = 22
3x = 22

Divide each side by '3'.
x = 7.333333333

Simplifying
x = 7.333333333

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