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

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


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

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

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

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

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

Combine like terms: -1x + 3x = 2x
-9 = -3 + 2x

Solving
-9 = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + -2x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + -2x = -3 + 0
-9 + -2x = -3

Add '9' to each side of the equation.
-9 + 9 + -2x = -3 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = -3 + 9
-2x = -3 + 9

Combine like terms: -3 + 9 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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