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4x-3(10-x)=5(2x-9)
We simplify the equation to the form, which is simple to understand
4x-3(10-x)=5(2x-9)
Reorder the terms in parentheses
4x+(-30+3x)=5*(2x-9)
Remove unnecessary parentheses
+4x-30+3x=+5+*(+2x-9+)
Reorder the terms in parentheses
4x-30+3x=+(+10x-45)
Remove unnecessary parentheses
+4x-30+3x=+10x-45
We move all terms containing x to the left and all other terms to the right.
+4x+3x-10x=-45+30
We simplify left and right side of the equation.
-3x=-15
We divide both sides of the equation by -3 to get x.
x=5
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