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x-3-5(x-7)=10(x+3)-(7x+5)
We simplify the equation to the form, which is simple to understand
x-3-5(x-7)=10(x+3)-(7x+5)
Reorder the terms in parentheses
x-3+(-5x+35)=10*(x+3)-(7x+5)
Remove unnecessary parentheses
+x-3-5x+35=+10+*(+x+3+)-(+7x+5+)
Reorder the terms in parentheses
x-3-5x+35=+(+10x+30)-(7x+5)
Remove unnecessary parentheses
+x-3-5x+35=+10x+30-(+7x+5+)
Remove unnecessary parentheses
x-3-5x+35=+10x+30-7x-5
We move all terms containing x to the left and all other terms to the right.
+1x-5x-10x+7x=+30-5+3-35
We simplify left and right side of the equation.
-7x=-7
We divide both sides of the equation by -7 to get x.
x=1
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