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12x-2(x+3)=3(x-5)+7x
We simplify the equation to the form, which is simple to understand
12x-2(x+3)=3(x-5)+7x
Reorder the terms in parentheses
12x+(-2x-6)=3*(x-5)+7x
Remove unnecessary parentheses
+12x-2x-6=+3+*(+x-5+)+7x
Reorder the terms in parentheses
12x-2x-6=+(+3x-15)+7x
Remove unnecessary parentheses
+12x-2x-6=+3x-15+7x
We move all terms containing x to the left and all other terms to the right.
+12x-2x-3x-7x=-15+6
We simplify left and right side of the equation.
0x=-9
0=-9
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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