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

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


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

Reorder the terms:
3 + -6(3 + x) = -3(x + 3) + -9
3 + (3 * -6 + x * -6) = -3(x + 3) + -9
3 + (-18 + -6x) = -3(x + 3) + -9

Combine like terms: 3 + -18 = -15
-15 + -6x = -3(x + 3) + -9

Reorder the terms:
-15 + -6x = -3(3 + x) + -9
-15 + -6x = (3 * -3 + x * -3) + -9
-15 + -6x = (-9 + -3x) + -9

Reorder the terms:
-15 + -6x = -9 + -9 + -3x

Combine like terms: -9 + -9 = -18
-15 + -6x = -18 + -3x

Solving
-15 + -6x = -18 + -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.
-15 + -6x + 3x = -18 + -3x + 3x

Combine like terms: -6x + 3x = -3x
-15 + -3x = -18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-15 + -3x = -18 + 0
-15 + -3x = -18

Add '15' to each side of the equation.
-15 + 15 + -3x = -18 + 15

Combine like terms: -15 + 15 = 0
0 + -3x = -18 + 15
-3x = -18 + 15

Combine like terms: -18 + 15 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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