d. (7-2 x)/(2)-(2)/(5)(2-x)=1 (1)/(4)

To solve the equation \(\frac{7-2x}{2} - \frac{2}{5}(2-x) = 1\frac{1}{4}\), follow these steps:1. Convert the mixed number to an improper fraction: 2. Rewrite the equation with the improper fraction: 3. Find a common denominator for all fractions involved. The least common multiple of 2, 5, and 4 is 20.4. Rewrite each fraction with the common denominator of 20: 5. Substitute these back into the equation: 6. Combine the fractions on the left side: 7. Since the denominators are equal, set the numerators equal to each other: 8. Solve for : Therefore, the solution to the equation is: