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! :)
