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3(x-5)=x-2(4-3x)
We simplify the equation to the form, which is simple to understand
3(x-5)=x-2(4-3x)
Reorder the terms in parentheses
+(+3x-15)=x-2*(4-3x)
Remove unnecessary parentheses
+3x-15=+x-2+*(+4-3x+)
Reorder the terms in parentheses
+3x-15=x+(-8+6x)
Remove unnecessary parentheses
+3x-15=+x-8+6x
We move all terms containing x to the left and all other terms to the right.
+3x-1x-6x=-8+15
We simplify left and right side of the equation.
-4x=+7
We divide both sides of the equation by -4 to get x.
x=-1.75
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