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
Right Born, let's go. Step 1: Write the equation. (2x-1)/(3) - 3 - (x)/(2) = (x)/(4) Step 2: Find a common denominator for all terms. The least common multiple of 3, 2, and 4 is 12. Multiply every term by 12. 12 ( (2x-1)/(3) ) - 12(3) - 12 ( (x)/(2) ) = 12 ( (x)/(4) ) Step 3: Simplify the equation. 4(2x-1) - 36 - 6x = 3x Step 4: Distribute and combine like terms on the left side. 8x - 4 - 36 - 6x = 3x (8x - 6x) + (-4 - 36) = 3x 2x - 40 = 3x Step 5: Isolate the variable x by subtracting 2x from both sides. -40 = 3x - 2x -40 = x Step 6: State the final answer. x = -40 The solution is x = -40. Got more? Send 'em 📸