(2)/(3)(x-1)-(1)/(5)(2x-3)=1

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


(2)/(3)(x-1)-(1)/(5)(2x-3)=1

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

Reorder the terms in parentheses
dividing of parentheses
( + 0.666666666667)*(x-1)-(1)/(5)*(2x-3)=1



Reorder the terms in parentheses
multiplication of parentheses
( + 0.666666666667x-0.666666666667)-(1)/(5)*(2x-3)=1



Remove unnecessary parentheses
 + 0.666666666667x-0.666666666667-(1)/(5)*(2x-3)=1

Reorder the terms in parentheses
dividing of parentheses
 + 0.666666666667x-0.666666666667-( + 0.2)*(2x-3)=1



Reorder the terms in parentheses
multiplication of parentheses
 + 0.666666666667x-0.666666666667-( + 0.4x-0.6)=1



Remove unnecessary parentheses
 + 0.666666666667x-0.666666666667-0.4x + 0.6=1

We move all terms containing x to the left and all other terms to the right. 
 + 0.666666666667x-0.4x=+1 + 0.666666666667-0.6

We simplify left and right side of the equation. 
 + 0.266666666667x=+1.06666666667

We divide both sides of the equation by 0.266666666667 to get x. 
x=4

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