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5(2x-3)/6+4=3(5x-1)/4-7
We simplify the equation to the form, which is simple to understand
5(2x-3)/6+4=3(5x-1)/4-7
Reorder the terms in parentheses
+(+10x-15)/6+4=3*(5x-1)/4-7
Reorder the terms in parentheses
+(+1.66666666667x-2.5)+4=3*(5x-1)/4-7
Remove unnecessary parentheses
+1.66666666667x-2.5+4=+3+*(+5x-1+)+/4-7
Reorder the terms in parentheses
+1.66666666667x-2.5+4=+(+15x-3)/4-7
Reorder the terms in parentheses
+1.66666666667x-2.5+4=+(+3.75x-0.75)-7
Remove unnecessary parentheses
+1.66666666667x-2.5+4=+3.75x-0.75-7
We move all terms containing x to the left and all other terms to the right.
+1.66666666667x-3.75x=-0.75-7+2.5-4
We simplify left and right side of the equation.
-2.08333333333x=-9.25
We divide both sides of the equation by -2.08333333333 to get x.
x=4.44
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