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3(2x-5)-4x=2(x-3)-12
We simplify the equation to the form, which is simple to understand
3(2x-5)-4x=2(x-3)-12
Reorder the terms in parentheses
+(+6x-15)-4x=2*(x-3)-12
Remove unnecessary parentheses
+6x-15-4x=+2+*(+x-3+)-12
Reorder the terms in parentheses
+6x-15-4x=+(+2x-6)-12
Remove unnecessary parentheses
+6x-15-4x=+2x-6-12
We move all terms containing x to the left and all other terms to the right.
+6x-4x-2x=-6-12+15
We simplify left and right side of the equation.
0x=-3
0=-3
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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