(x-6)-(x+8)=5x

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Solution for (x-6)-(x+8)=5x equation:


Simplifying
(x + -6) + -1(x + 8) = 5x

Reorder the terms:
(-6 + x) + -1(x + 8) = 5x

Remove parenthesis around (-6 + x)
-6 + x + -1(x + 8) = 5x

Reorder the terms:
-6 + x + -1(8 + x) = 5x
-6 + x + (8 * -1 + x * -1) = 5x
-6 + x + (-8 + -1x) = 5x

Reorder the terms:
-6 + -8 + x + -1x = 5x

Combine like terms: -6 + -8 = -14
-14 + x + -1x = 5x

Combine like terms: x + -1x = 0
-14 + 0 = 5x
-14 = 5x

Solving
-14 = 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.
-14 + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + -5x = 0

Add '14' to each side of the equation.
-14 + 14 + -5x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -5x = 0 + 14
-5x = 0 + 14

Combine like terms: 0 + 14 = 14
-5x = 14

Divide each side by '-5'.
x = -2.8

Simplifying
x = -2.8

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