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5x-3(x-4)=2(x-5)
We simplify the equation to the form, which is simple to understand
5x-3(x-4)=2(x-5)
Reorder the terms in parentheses
5x+(-3x+12)=2*(x-5)
Remove unnecessary parentheses
+5x-3x+12=+2+*(+x-5+)
Reorder the terms in parentheses
5x-3x+12=+(+2x-10)
Remove unnecessary parentheses
+5x-3x+12=+2x-10
We move all terms containing x to the left and all other terms to the right.
+5x-3x-2x=-10-12
We simplify left and right side of the equation.
0x=-22
0=-22
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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