Respuesta :

The answer is x=13/12


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1/5(3x - 0.5) + 1/6= x/5 + 0.5
change decimals to fractions (0.5=1/2)

1/5(3x - 1/2) + 1/6= x/5 + 1/2
multiply 1/5 by each term in parentheses

(1/5*3x) + (1/5*-1/2) + 1/6= x/5 + 1/2
multiply within parentheses

3x/5 - 1/10 + 1/6= x/5 + 1/2

need a common denominator; all denominators go into 30

18x/30 - 3/30 + 5/30= 6x/30 + 15/30
combine like terms

18x/30 + 2/30= 6x/30 + 15/30
subtract 6x/30 from both sides

12x/30 + 2/30= 15/30
subtract 2/30 from both sides

12x/30= 13/30
multiply both sides by 30 to eliminate fractions

(12x/30)(30)= (13/30)(30)
12x= 13
divide both sides by 12

x= 13/12 or 1.083333


ANSWER: x= 13/12 or 1.083333

Hope this helps! :)

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