-3(x+3)=-2(3x-6)

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Solution for -3(x+3)=-2(3x-6) equation:


Simplifying
-3(x + 3) = -2(3x + -6)

Reorder the terms:
-3(3 + x) = -2(3x + -6)
(3 * -3 + x * -3) = -2(3x + -6)
(-9 + -3x) = -2(3x + -6)

Reorder the terms:
-9 + -3x = -2(-6 + 3x)
-9 + -3x = (-6 * -2 + 3x * -2)
-9 + -3x = (12 + -6x)

Solving
-9 + -3x = 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.
-9 + -3x + 6x = 12 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
-9 + 3x = 12 + 0
-9 + 3x = 12

Add '9' to each side of the equation.
-9 + 9 + 3x = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 12 + 9
3x = 12 + 9

Combine like terms: 12 + 9 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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