8-(x-2)=x-6

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


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

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

Combine like terms: 8 + 2 = 10
10 + -1x = x + -6

Reorder the terms:
10 + -1x = -6 + x

Solving
10 + -1x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -1x + -1x = -6 + x + -1x

Combine like terms: -1x + -1x = -2x
10 + -2x = -6 + x + -1x

Combine like terms: x + -1x = 0
10 + -2x = -6 + 0
10 + -2x = -6

Add '-10' to each side of the equation.
10 + -10 + -2x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -6 + -10
-2x = -6 + -10

Combine like terms: -6 + -10 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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