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

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


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

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

Solving
12 + -3x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
12 + -3x + 2x = 6 + -2x + 2x

Combine like terms: -3x + 2x = -1x
12 + -1x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + -1x = 6 + 0
12 + -1x = 6

Add '-12' to each side of the equation.
12 + -12 + -1x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 6 + -12
-1x = 6 + -12

Combine like terms: 6 + -12 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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