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2(10x-2)-8(2-3x)+9(-9x+4)=-9(10-5x)
We simplify the equation to the form, which is simple to understand
2(10x-2)-8(2-3x)+9(-9x+4)=-9(10-5x)
Reorder the terms in parentheses
+(+20x-4)-8*(2-3x)+9*(-9x+4)=-9*(10-5x)
Remove unnecessary parentheses
+20x-4-8+*(+2-3x+)+9+*(-9x+4+)=-9+*(+10-5x+)
Reorder the terms in parentheses
+20x-4+(-16+24x)+9*(-9x+4)=-9*(10-5x)
Remove unnecessary parentheses
+20x-4-16+24x+9+*(-9x+4+)=-9+*(+10-5x+)
Reorder the terms in parentheses
+20x-4-16+24x+(-81x+36)=-9*(10-5x)
Remove unnecessary parentheses
+20x-4-16+24x-81x+36=-9+*(+10-5x+)
Reorder the terms in parentheses
+20x-4-16+24x-81x+36=+(-90+45x)
Remove unnecessary parentheses
+20x-4-16+24x-81x+36=-90+45x
We move all terms containing x to the left and all other terms to the right.
+20x+24x-81x-45x=-90+4+16-36
We simplify left and right side of the equation.
-82x=-106
We divide both sides of the equation by -82 to get x.
x=1.29268292683
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