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6x-12=-4\left(-x+3\right)
Use the distributive property to multiply 6 by x-2.
6x-12=-4\left(-x\right)-12
Use the distributive property to multiply -4 by -x+3.
6x-12=4x-12
Multiply -4 and -1 to get 4.
6x-12-4x=-12
Subtract 4x from both sides.
2x-12=-12
Combine 6x and -4x to get 2x.
2x=-12+12
Add 12 to both sides.
2x=0
Add -12 and 12 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 2 is not equal to 0, x must be equal to 0.