2/3(x+1/5)=3/4(x-6)

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Solution for 2/3(x+1/5)=3/4(x-6) equation:


2/3(x+1/5)=3/4(x-6)

We simplify the equation to the form, which is simple to understand 
2/3(x+1/5)=3/4(x-6)

Reorder the terms in parentheses
+( + 0.66666666666667x + 0.13333333333333)=0.75*(x-6)

Remove unnecessary parentheses
 + 0.66666666666667x + 0.13333333333333=0.75+*(+x-6+)

Reorder the terms in parentheses
 + 0.66666666666667x + 0.13333333333333=+( + 0.75x-4.5)

Remove unnecessary parentheses
 + 0.66666666666667x + 0.13333333333333=0.75x-4.5

We move all terms containing x to the left and all other terms to the right. 
 + 0.66666666666667x-0.75x=-4.5-0.13333333333333

We simplify left and right side of the equation. 
-0.083333333333333x=-4.6333333333333

We divide both sides of the equation by -0.083333333333333 to get x. 
x=55.6

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