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2/5(5x-1)+3/10 (10x-3)=1/2(x-2)-5/6
We simplify the equation to the form, which is simple to understand
2/5(5x-1)+3/10(10x-3)=1/2(x-2)-5/6
Reorder the terms in parentheses
+(+2x-0.4) + 0.3*(10x-3)=0.5*(x-2)-0.83333333333333
Remove unnecessary parentheses
+2x-0.4 + 0.3+*(+10x-3+)=0.5+*(+x-2+)-0.83333333333333
Reorder the terms in parentheses
+2x-0.4+(+3x-0.9)=0.5*(x-2)-0.83333333333333
Remove unnecessary parentheses
+2x-0.4+3x-0.9=0.5+*(+x-2+)-0.83333333333333
Reorder the terms in parentheses
+2x-0.4+3x-0.9=+( + 0.5x-1)-0.83333333333333
Remove unnecessary parentheses
+2x-0.4+3x-0.9=0.5x-1-0.83333333333333
We move all terms containing x to the left and all other terms to the right.
+2x+3x-0.5x=-1-0.83333333333333 + 0.4 + 0.9
We simplify left and right side of the equation.
+4.5x=-0.53333333333333
We divide both sides of the equation by 4.5 to get x.
x=-0.11851851851852
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