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2(3-x)+5=3-2(x-4)
We simplify the equation to the form, which is simple to understand
2(3-x)+5=3-2(x-4)
Reorder the terms in parentheses
+(+6-2x)+5=3-2*(x-4)
Remove unnecessary parentheses
+6-2x+5=+3-2+*(+x-4+)
Reorder the terms in parentheses
+6-2x+5=3+(-2x+8)
Remove unnecessary parentheses
+6-2x+5=+3-2x+8
We move all terms containing x to the left and all other terms to the right.
-2x+2x=+3+8-6-5
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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