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3(2x-6)+6(x-2)=3(3-5x)+5x-7
We simplify the equation to the form, which is simple to understand
3(2x-6)+6(x-2)=3(3-5x)+5x-7
Reorder the terms in parentheses
+(+6x-18)+6*(x-2)=3*(3-5x)+5x-7
Remove unnecessary parentheses
+6x-18+6+*(+x-2+)=+3+*(+3-5x+)+5x-7
Reorder the terms in parentheses
+6x-18+(+6x-12)=3*(3-5x)+5x-7
Remove unnecessary parentheses
+6x-18+6x-12=+3+*(+3-5x+)+5x-7
Reorder the terms in parentheses
+6x-18+6x-12=+(+9-15x)+5x-7
Remove unnecessary parentheses
+6x-18+6x-12=+9-15x+5x-7
We move all terms containing x to the left and all other terms to the right.
+6x+6x+15x-5x=+9-7+18+12
We simplify left and right side of the equation.
+22x=+32
We divide both sides of the equation by 22 to get x.
x=1.45454545455
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