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

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Solution for 3x+9-(6x-(9(x-1)-3))=3x-9 equation:


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

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

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

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

Reorder the terms:
3x + 9 + -1(12 + 6x + -9x) = 3x + -9

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

Reorder the terms:
9 + -12 + 3x + 3x = 3x + -9

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

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

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

Solving
-3 + 6x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3 + 6x + -3x = -9 + 3x + -3x

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

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

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

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

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

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

Simplifying
x = -2

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