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5(x-4)-2(x+5)=-10
We simplify the equation to the form, which is simple to understand
5(x-4)-2(x+5)=-10
Reorder the terms in parentheses
+(+5x-20)-2*(x+5)=-10
Remove unnecessary parentheses
+5x-20-2+*(+x+5+)=-10
Reorder the terms in parentheses
+5x-20+(-2x-10)=-10
Remove unnecessary parentheses
+5x-20-2x-10=-10
We move all terms containing x to the left and all other terms to the right.
+5x-2x=-10+20+10
We simplify left and right side of the equation.
+3x=+20
We divide both sides of the equation by 3 to get x.
x=6.66666666667
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