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: Cross-multiply the terms in the proportion. (6x+5)(x-3) = (3x-4)(2x-5) Step 2: Expand both sides of the equation. 6x^2 - 18x + 5x - 15 = 6x^2 - 15x - 8x + 20 6x^2 - 13x - 15 = 6x^2 - 23x + 20 Step 3: Subtract 6x^2 from both sides and rearrange the terms to isolate x. -13x - 15 = -23x + 20 Add 23x to both sides: -13x + 23x - 15 = 20 10x - 15 = 20 Add 15 to both sides: 10x = 20 + 15 10x = 35 Step 4: Solve for x. x = (35)/(10) x = (7)/(2) The solution is x = (7)/(2). Send me the next one 📸