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5x-3(x-1)=2(3-x)
We simplify the equation to the form, which is simple to understand
5x-3(x-1)=2(3-x)
Reorder the terms in parentheses
5x+(-3x+3)=2*(3-x)
Remove unnecessary parentheses
+5x-3x+3=+2+*(+3-x+)
Reorder the terms in parentheses
5x-3x+3=+(+6-2x)
Remove unnecessary parentheses
+5x-3x+3=+6-2x
We move all terms containing x to the left and all other terms to the right.
+5x-3x+2x=+6-3
We simplify left and right side of the equation.
+4x=+3
We divide both sides of the equation by 4 to get x.
x=0.75
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