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4(x-4)+2(x+5)=3(2x-2)
We simplify the equation to the form, which is simple to understand
4(x-4)+2(x+5)=3(2x-2)
Reorder the terms in parentheses
+(+4x-16)+2*(x+5)=3*(2x-2)
Remove unnecessary parentheses
+4x-16+2+*(+x+5+)=+3+*(+2x-2+)
Reorder the terms in parentheses
+4x-16+(+2x+10)=3*(2x-2)
Remove unnecessary parentheses
+4x-16+2x+10=+3+*(+2x-2+)
Reorder the terms in parentheses
+4x-16+2x+10=+(+6x-6)
Remove unnecessary parentheses
+4x-16+2x+10=+6x-6
We move all terms containing x to the left and all other terms to the right.
+4x+2x-6x=-6+16-10
We simplify left and right side of the equation.
0x=0
0=0
This equation is an identity, so all real numbers are solutions.
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