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3x+2(x-4)=8x+5(x-9)
We simplify the equation to the form, which is simple to understand
3x+2(x-4)=8x+5(x-9)
Reorder the terms in parentheses
3x+(+2x-8)=8x+5*(x-9)
Remove unnecessary parentheses
+3x+2x-8=+8x+5+*(+x-9+)
Reorder the terms in parentheses
3x+2x-8=8x+(+5x-45)
Remove unnecessary parentheses
+3x+2x-8=+8x+5x-45
We move all terms containing x to the left and all other terms to the right.
+3x+2x-8x-5x=-45+8
We simplify left and right side of the equation.
-8x=-37
We divide both sides of the equation by -8 to get x.
x=4.625
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