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2(x-2)-(3x-5)=2(5x-1)-19
We simplify the equation to the form, which is simple to understand
2(x-2)-(3x-5)=2(5x-1)-19
Reorder the terms in parentheses
+(+2x-4)-(3x-5)=2*(5x-1)-19
Remove unnecessary parentheses
+2x-4-(+3x-5+)=+2+*(+5x-1+)-19
Remove unnecessary parentheses
+2x-4-3x+5=2*(5x-1)-19
Reorder the terms in parentheses
+2x-4-3x+5=+(+10x-2)-19
Remove unnecessary parentheses
+2x-4-3x+5=+10x-2-19
We move all terms containing x to the left and all other terms to the right.
+2x-3x-10x=-2-19+4-5
We simplify left and right side of the equation.
-11x=-22
We divide both sides of the equation by -11 to get x.
x=2
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