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10(5x-6)-9(2-8x)+7(-2x+3)=-8(9-10x)
We simplify the equation to the form, which is simple to understand
10(5x-6)-9(2-8x)+7(-2x+3)=-8(9-10x)
Reorder the terms in parentheses
+(+50x-60)-9*(2-8x)+7*(-2x+3)=-8*(9-10x)
Remove unnecessary parentheses
+50x-60-9+*(+2-8x+)+7+*(-2x+3+)=-8+*(+9-10x+)
Reorder the terms in parentheses
+50x-60+(-18+72x)+7*(-2x+3)=-8*(9-10x)
Remove unnecessary parentheses
+50x-60-18+72x+7+*(-2x+3+)=-8+*(+9-10x+)
Reorder the terms in parentheses
+50x-60-18+72x+(-14x+21)=-8*(9-10x)
Remove unnecessary parentheses
+50x-60-18+72x-14x+21=-8+*(+9-10x+)
Reorder the terms in parentheses
+50x-60-18+72x-14x+21=+(-72+80x)
Remove unnecessary parentheses
+50x-60-18+72x-14x+21=-72+80x
We move all terms containing x to the left and all other terms to the right.
+50x+72x-14x-80x=-72+60+18-21
We simplify left and right side of the equation.
+28x=-15
We divide both sides of the equation by 28 to get x.
x=-0.535714285714
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