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1.5(4x-2)=2.5(5x-3)
We simplify the equation to the form, which is simple to understand
1.5(4x-2)=2.5(5x-3)
Reorder the terms in parentheses
+(+6x-3)=2.5*(5x-3)
Remove unnecessary parentheses
+6x-3=+2.5+*(+5x-3+)
Reorder the terms in parentheses
+6x-3=+(+12.5x-7.5)
Remove unnecessary parentheses
+6x-3=+12.5x-7.5
We move all terms containing x to the left and all other terms to the right.
+6x-12.5x=-7.5+3
We simplify left and right side of the equation.
-6.5x=-4.5
We divide both sides of the equation by -6.5 to get x.
x=0.692307692308
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