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3/2(4x-2)-1/2(x-5)=4
We simplify the equation to the form, which is simple to understand
3/2(4x-2)-1/2(x-5)=4
Reorder the terms in parentheses
+(+6x-3)-0.5*(x-5)=4
Remove unnecessary parentheses
+6x-3-0.5+*(+x-5+)=+4
Reorder the terms in parentheses
+6x-3+(-0.5x+2.5)=4
Remove unnecessary parentheses
+6x-3-0.5x+2.5=+4
We move all terms containing x to the left and all other terms to the right.
+6x-0.5x=+4+3-2.5
We simplify left and right side of the equation.
+5.5x=+4.5
We divide both sides of the equation by 5.5 to get x.
x=0.81818181818182
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