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

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


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

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

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

Solving
-9 + 3x = -18 + -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.
-9 + 3x + 6x = -18 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
-9 + 9x = -18 + 0
-9 + 9x = -18

Add '9' to each side of the equation.
-9 + 9 + 9x = -18 + 9

Combine like terms: -9 + 9 = 0
0 + 9x = -18 + 9
9x = -18 + 9

Combine like terms: -18 + 9 = -9
9x = -9

Divide each side by '9'.
x = -1

Simplifying
x = -1

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