1/2(x-3)=5/15+(2/3)(2x-5)

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Solution for 1/2(x-3)=5/15+(2/3)(2x-5) equation:


1/2(x-3)=5/15+(2/3)(2x-5)

We simplify the equation to the form, which is simple to understand 
1/2(x-3)=5/15+(2/3)*(2x-5)

Reorder the terms in parentheses
+( + 0.5x-1.5)=0.33333333333333+( + 0.66666666666667)*(2x-5)

Remove unnecessary parentheses
 + 0.5x-1.5=0.33333333333333+( + 0.66666666666667+)+*(+2x-5+)

Reorder the terms in parentheses
multiplication of parentheses
 + 0.5x-1.5=0.33333333333333+(+1.3333333333333x-3.3333333333333)



Remove unnecessary parentheses
 + 0.5x-1.5=0.33333333333333+1.3333333333333x-3.3333333333333

We move all terms containing x to the left and all other terms to the right. 
 + 0.5x-1.3333333333333x=0.33333333333333-3.3333333333333+1.5

We simplify left and right side of the equation. 
-0.8333333333333x=-1.5

We divide both sides of the equation by -0.8333333333333 to get x. 
x=1.8000000000001

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