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3(x-2)/4-3=-2(x-2)/5
We simplify the equation to the form, which is simple to understand
3(x-2)/4-3=-2(x-2)/5
Reorder the terms in parentheses
+(+3x-6)/4-3=-2*(x-2)/5
Reorder the terms in parentheses
+( + 0.75x-1.5)-3=-2*(x-2)/5
Remove unnecessary parentheses
+ 0.75x-1.5-3=-2+*(+x-2+)+/5
Reorder the terms in parentheses
+ 0.75x-1.5-3=+(-2x+4)/5
Reorder the terms in parentheses
+ 0.75x-1.5-3=+(-0.4x + 0.8)
Remove unnecessary parentheses
+ 0.75x-1.5-3=-0.4x + 0.8
We move all terms containing x to the left and all other terms to the right.
+ 0.75x + 0.4x=0.8+1.5+3
We simplify left and right side of the equation.
+1.15x=+5.3
We divide both sides of the equation by 1.15 to get x.
x=4.60869565217
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