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8(x-3)-(6-2x)=2(x-2)-5(5-x)
We simplify the equation to the form, which is simple to understand
8(x-3)-(6-2x)=2(x-2)-5(5-x)
Reorder the terms in parentheses
+(+8x-24)-(6-2x)=2*(x-2)-5*(5-x)
Remove unnecessary parentheses
+8x-24-(+6-2x+)=+2+*(+x-2+)-5+*(+5-x+)
Remove unnecessary parentheses
+8x-24-6+2x=2*(x-2)-5*(5-x)
Reorder the terms in parentheses
+8x-24-6+2x=+(+2x-4)-5*(5-x)
Remove unnecessary parentheses
+8x-24-6+2x=+2x-4-5+*(+5-x+)
Reorder the terms in parentheses
+8x-24-6+2x=+2x-4+(-25+5x)
Remove unnecessary parentheses
+8x-24-6+2x=+2x-4-25+5x
We move all terms containing x to the left and all other terms to the right.
+8x+2x-2x-5x=-4-25+24+6
We simplify left and right side of the equation.
+3x=+1
We divide both sides of the equation by 3 to get x.
x=0.33333333333333
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