The way to solve this problem is to first, distribute 3/5 through the parenthesis which will leave you to: 12/5x - 3 + 4 1/2 = 1/4x - 9 1/4. Next, you convert 9 1/4 to 37/4 and then, convert 4 1/2 to 9/2. This will bring you to: 12x - 3 + 9/2 = 1/4x - 37/4. Next, you can write all numerators above the common denominator: -3 + 9/2 will become: -6+9/2. Calculate the sum or difference: -6+9/2=3/2. This brings you to 12/5x + 3/2 = 1/4x - 37/4. To simplify the equation, multiply both sides by the least common denominator, 20. 20 * 12/5x + 20 * 3/2 = 20 * 1/4x - 20 * 37/4. From there, reduce the numbers with 5, 2, and 4. This leaves you to: 4 * 12x + 10 * 3 = 5x - 5 * 37. Calculate 4 and 12x, which will equal 48x. Then multiply 10 and 3 to get 30, and multiply 5 and 37 to get 185. The equation you should have now is: 48x + 30 = 5x - 185. Move the constant (30) to the right side and change its sign, and move the variable (-5x) to the left side and change the sign. You should be left with: 48x - 5x = -185 - 30. Now you have like terms, calculate the sum or difference. Now you should have 43x = -215. Divide both sides of the equation by 43.
ANSWER: x=-5
