This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Write the given equation. (4x-9)/(3) = (3x+5)/(7) Step 2: Multiply both sides by the least common multiple of the denominators (3 and 7), which is 21, to eliminate the fractions. 21 · (4x-9)/(3) = 21 · (3x+5)/(7) 7(4x-9) = 3(3x+5) Step 3: Distribute the numbers on both sides of the equation. 28x - 63 = 9x + 15 Step 4: Subtract 9x from both sides to gather x terms on one side. 28x - 9x - 63 = 15 19x - 63 = 15 Step 5: Add 63 to both sides to gather constant terms on the other side. 19x = 15 + 63 19x = 78 Step 6: Divide both sides by 19 to solve for x. x = (78)/(19) The solution is: x = (78)/(19) That's 2 down. 3 left today — send the next one.