(x-8)-(x+6)=9x

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Solution for (x-8)-(x+6)=9x equation:


Simplifying
(x + -8) + -1(x + 6) = 9x

Reorder the terms:
(-8 + x) + -1(x + 6) = 9x

Remove parenthesis around (-8 + x)
-8 + x + -1(x + 6) = 9x

Reorder the terms:
-8 + x + -1(6 + x) = 9x
-8 + x + (6 * -1 + x * -1) = 9x
-8 + x + (-6 + -1x) = 9x

Reorder the terms:
-8 + -6 + x + -1x = 9x

Combine like terms: -8 + -6 = -14
-14 + x + -1x = 9x

Combine like terms: x + -1x = 0
-14 + 0 = 9x
-14 = 9x

Solving
-14 = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-14 + -9x = 9x + -9x

Combine like terms: 9x + -9x = 0
-14 + -9x = 0

Add '14' to each side of the equation.
-14 + 14 + -9x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -9x = 0 + 14
-9x = 0 + 14

Combine like terms: 0 + 14 = 14
-9x = 14

Divide each side by '-9'.
x = -1.555555556

Simplifying
x = -1.555555556

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