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2(x-4)-5(6x-8)=3(x-4)-8x+3
We simplify the equation to the form, which is simple to understand
2(x-4)-5(6x-8)=3(x-4)-8x+3
Reorder the terms in parentheses
+(+2x-8)-5*(6x-8)=3*(x-4)-8x+3
Remove unnecessary parentheses
+2x-8-5+*(+6x-8+)=+3+*(+x-4+)-8x+3
Reorder the terms in parentheses
+2x-8+(-30x+40)=3*(x-4)-8x+3
Remove unnecessary parentheses
+2x-8-30x+40=+3+*(+x-4+)-8x+3
Reorder the terms in parentheses
+2x-8-30x+40=+(+3x-12)-8x+3
Remove unnecessary parentheses
+2x-8-30x+40=+3x-12-8x+3
We move all terms containing x to the left and all other terms to the right.
+2x-30x-3x+8x=-12+3+8-40
We simplify left and right side of the equation.
-23x=-41
We divide both sides of the equation by -23 to get x.
x=1.78260869565
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