(x-9)-(x+3)=6x

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Solution for (x-9)-(x+3)=6x equation:


Simplifying
(x + -9) + -1(x + 3) = 6x

Reorder the terms:
(-9 + x) + -1(x + 3) = 6x

Remove parenthesis around (-9 + x)
-9 + x + -1(x + 3) = 6x

Reorder the terms:
-9 + x + -1(3 + x) = 6x
-9 + x + (3 * -1 + x * -1) = 6x
-9 + x + (-3 + -1x) = 6x

Reorder the terms:
-9 + -3 + x + -1x = 6x

Combine like terms: -9 + -3 = -12
-12 + x + -1x = 6x

Combine like terms: x + -1x = 0
-12 + 0 = 6x
-12 = 6x

Solving
-12 = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -6x = 0

Add '12' to each side of the equation.
-12 + 12 + -6x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -6x = 0 + 12
-6x = 0 + 12

Combine like terms: 0 + 12 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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