First, let's convert all the mixed numbers to improper fractions:
4/15 - (x + 71/10) = 2 13/30Convert 4 15/15 to an improper fraction:= (4*15 + 15)/15= 75/15= 5
Convert 2 13/30 to an improper fraction:= (2*30 + 13)/30= 73/30
Now, the equation becomes:5 - (x + 71/10) = 73/30
Let's simplify the equation further:5 - x - 71/10 = 73/30
Therefore, the solution to the equation is x = -4.533333333333333.
First, let's convert all the mixed numbers to improper fractions:
4/15 - (x + 71/10) = 2 13/30
Convert 4 15/15 to an improper fraction:
= (4*15 + 15)/15
= 75/15
= 5
Convert 2 13/30 to an improper fraction:
= (2*30 + 13)/30
= 73/30
Now, the equation becomes:
5 - (x + 71/10) = 73/30
Let's simplify the equation further:
x + 5 - 7.1 = 2.433333333333333x - 2.1 = 2.433333333333333x = 4.5333333333333335 - x - 71/10 = 73/30
Therefore, the solution to the equation is x = -4.533333333333333.