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x-2x+4=3\left(-2\right)-2
Use the distributive property to multiply -2 by x-2.
-x+4=3\left(-2\right)-2
Combine x and -2x to get -x.
-x+4=-6-2
Multiply 3 and -2 to get -6.
-x+4=-8
Subtract 2 from -6 to get -8.
-x=-8-4
Subtract 4 from both sides.
-x=-12
Subtract 4 from -8 to get -12.
x=12
Multiply both sides by -1.