# (x-6)-(x+2)=5x

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## Solution for (x-6)-(x+2)=5x equation:

Simplifying
(x + -6) + -1(x + 2) = 5x
Reorder the terms:
(-6 + x) + -1(x + 2) = 5x
Remove parenthesis around (-6 + x)
-6 + x + -1(x + 2) = 5x
Reorder the terms:
-6 + x + -1(2 + x) = 5x
-6 + x + (2 * -1 + x * -1) = 5x
-6 + x + (-2 + -1x) = 5x
Reorder the terms:
-6 + -2 + x + -1x = 5x
Combine like terms: -6 + -2 = -8
-8 + x + -1x = 5x
Combine like terms: x + -1x = 0
-8 + 0 = 5x
-8 = 5x
Solving
-8 = 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-8 + -5x = 5x + -5x
Combine like terms: 5x + -5x = 0
-8 + -5x = 0
Add '8' to each side of the equation.
-8 + 8 + -5x = 0 + 8
Combine like terms: -8 + 8 = 0
0 + -5x = 0 + 8
-5x = 0 + 8
Combine like terms: 0 + 8 = 8
-5x = 8
Divide each side by '-5'.
x = -1.6
Simplifying
x = -1.6`

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