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5x+7=3(x+3)+2 (x-10)
We simplify the equation to the form, which is simple to understand
5x+7=3(x+3)+2(x-10)
Reorder the terms in parentheses
5x+7=+(+3x+9)+2*(x-10)
Remove unnecessary parentheses
+5x+7=+3x+9+2+*(+x-10+)
Reorder the terms in parentheses
5x+7=+3x+9+(+2x-20)
Remove unnecessary parentheses
+5x+7=+3x+9+2x-20
We move all terms containing x to the left and all other terms to the right.
+5x-3x-2x=+9-20-7
We simplify left and right side of the equation.
0x=-18
0=-18
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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