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6(x-2)+8=3(x-4)+3x+8
We simplify the equation to the form, which is simple to understand
6(x-2)+8=3(x-4)+3x+8
Reorder the terms in parentheses
+(+6x-12)+8=3*(x-4)+3x+8
Remove unnecessary parentheses
+6x-12+8=+3+*(+x-4+)+3x+8
Reorder the terms in parentheses
+6x-12+8=+(+3x-12)+3x+8
Remove unnecessary parentheses
+6x-12+8=+3x-12+3x+8
We move all terms containing x to the left and all other terms to the right.
+6x-3x-3x=-12+8+12-8
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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