Home » Solve for x in the equation; (frac{3}{5})(2x – 1) = (frac{1}{4})(5x – 3)

Solve for x in the equation; (frac{3}{5})(2x – 1) = (frac{1}{4})(5x – 3)

Solve for x in the equation; (frac{3}{5})(2x – 1) = (frac{1}{4})(5x – 3)
  • A.
    zero
  • B.
    1
  • C.
    2
  • D.
    3
Correct Answer: Option D
Explanation

(frac{3}{5})(2x – 1) = (frac{1}{4})(5x – 3)
(frac{6x}{5} – frac{3}{5} = frac{5x}{4} – frac{3}{4})
(frac{6x}{5} – frac{5x}{4} = frac{3}{5} – frac{3}{4})
(frac{24x – 25x}{20} = frac{12 – 15}{20})
(frac{-x}{20} = frac{-3}{20})
-20x = -60
x = (frac{-60}{-20})
x = 3