Answer:
First, we can simplify the left side of the equation by distributing 1/4:
1/4 (x - 2/5) = 1/4 x - 1/5
Now the equation becomes:
1/4 x - 1/5 = -1 1/2
We can convert the mixed number on the right side to an improper fraction:
-1 1/2 = -3/2
Adding 1/5 to both sides, we get:
1/4 x = -3/2 + 1/5
Combining the fractions on the right side:
1/4 x = -13/10
Multiplying both sides by 4:
x = -13/10 * 4 = -26/5
We can convert this to a mixed number in simplest form by dividing the numerator by the denominator:
x = -5 1/5