3(x-2)=-6x+12

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Solution for 3(x-2)=-6x+12 equation:


Simplifying
3(x + -2) = -6x + 12

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

Reorder the terms:
-6 + 3x = 12 + -6x

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 9x = 12 + 6

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

Combine like terms: 12 + 6 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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