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6(x-2)/5 - 3(x+1)/5=2(x-5)
We simplify the equation to the form, which is simple to understand
6(x-2)/5-3(x+1)/5=2(x-5)
Reorder the terms in parentheses
+(+6x-12)/5-3*(x+1)/5=2*(x-5)
Reorder the terms in parentheses
+(+1.2x-2.4)-3*(x+1)/5=2*(x-5)
Remove unnecessary parentheses
+1.2x-2.4-3+*(+x+1+)+/5=+2+*(+x-5+)
Reorder the terms in parentheses
+1.2x-2.4+(-3x-3)/5=2*(x-5)
Reorder the terms in parentheses
+1.2x-2.4+(-0.6x-0.6)=2*(x-5)
Remove unnecessary parentheses
+1.2x-2.4-0.6x-0.6=+2+*(+x-5+)
Reorder the terms in parentheses
+1.2x-2.4-0.6x-0.6=+(+2x-10)
Remove unnecessary parentheses
+1.2x-2.4-0.6x-0.6=+2x-10
We move all terms containing x to the left and all other terms to the right.
+1.2x-0.6x-2x=-10+2.4 + 0.6
We simplify left and right side of the equation.
-1.4x=-7
We divide both sides of the equation by -1.4 to get x.
x=5
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