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6(x-4)-5(x-2)-7(2x+5)=3
We simplify the equation to the form, which is simple to understand
6(x-4)-5(x-2)-7(2x+5)=3
Reorder the terms in parentheses
+(+6x-24)-5*(x-2)-7*(2x+5)=3
Remove unnecessary parentheses
+6x-24-5+*(+x-2+)-7+*(+2x+5+)=+3
Reorder the terms in parentheses
+6x-24+(-5x+10)-7*(2x+5)=3
Remove unnecessary parentheses
+6x-24-5x+10-7+*(+2x+5+)=+3
Reorder the terms in parentheses
+6x-24-5x+10+(-14x-35)=3
Remove unnecessary parentheses
+6x-24-5x+10-14x-35=+3
We move all terms containing x to the left and all other terms to the right.
+6x-5x-14x=+3+24-10+35
We simplify left and right side of the equation.
-13x=+52
We divide both sides of the equation by -13 to get x.
x=-4
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