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3(x+7)+9=8x-5(x-3)
We simplify the equation to the form, which is simple to understand
3(x+7)+9=8x-5(x-3)
Reorder the terms in parentheses
+(+3x+21)+9=8x-5*(x-3)
Remove unnecessary parentheses
+3x+21+9=+8x-5+*(+x-3+)
Reorder the terms in parentheses
+3x+21+9=8x+(-5x+15)
Remove unnecessary parentheses
+3x+21+9=+8x-5x+15
We move all terms containing x to the left and all other terms to the right.
+3x-8x+5x=+15-21-9
We simplify left and right side of the equation.
0x=-15
0=-15
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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