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4(x-5)-2(x-1)=7(x-1)+14
We simplify the equation to the form, which is simple to understand
4(x-5)-2(x-1)=7(x-1)+14
Reorder the terms in parentheses
+(+4x-20)-2*(x-1)=7*(x-1)+14
Remove unnecessary parentheses
+4x-20-2+*(+x-1+)=+7+*(+x-1+)+14
Reorder the terms in parentheses
+4x-20+(-2x+2)=7*(x-1)+14
Remove unnecessary parentheses
+4x-20-2x+2=+7+*(+x-1+)+14
Reorder the terms in parentheses
+4x-20-2x+2=+(+7x-7)+14
Remove unnecessary parentheses
+4x-20-2x+2=+7x-7+14
We move all terms containing x to the left and all other terms to the right.
+4x-2x-7x=-7+14+20-2
We simplify left and right side of the equation.
-5x=+25
We divide both sides of the equation by -5 to get x.
x=-5
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