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5x-3(2x-6)=3x-2(x-2)
We simplify the equation to the form, which is simple to understand
5x-3(2x-6)=3x-2(x-2)
Reorder the terms in parentheses
5x+(-6x+18)=3x-2*(x-2)
Remove unnecessary parentheses
+5x-6x+18=+3x-2+*(+x-2+)
Reorder the terms in parentheses
5x-6x+18=3x+(-2x+4)
Remove unnecessary parentheses
+5x-6x+18=+3x-2x+4
We move all terms containing x to the left and all other terms to the right.
+5x-6x-3x+2x=+4-18
We simplify left and right side of the equation.
-2x=-14
We divide both sides of the equation by -2 to get x.
x=7
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