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-10(x+3)+5(3x-5)=4(x-6)+13
We simplify the equation to the form, which is simple to understand
-10(x+3)+5(3x-5)=4(x-6)+13
Reorder the terms in parentheses
+(-10x-30)+5*(3x-5)=4*(x-6)+13
Remove unnecessary parentheses
-10x-30+5+*(+3x-5+)=+4+*(+x-6+)+13
Reorder the terms in parentheses
-10x-30+(+15x-25)=4*(x-6)+13
Remove unnecessary parentheses
-10x-30+15x-25=+4+*(+x-6+)+13
Reorder the terms in parentheses
-10x-30+15x-25=+(+4x-24)+13
Remove unnecessary parentheses
-10x-30+15x-25=+4x-24+13
We move all terms containing x to the left and all other terms to the right.
-10x+15x-4x=-24+13+30+25
We simplify left and right side of the equation.
+1x=+44
We divide both sides of the equation by 1 to get x.
x=44
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