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: Distribute the (1)/(2) on the left side of the inequality. x + (1)/(2) (1)/(3)x + (1)/(10) Step 2: To eliminate the fractions, multiply every term by the least common multiple (LCM) of the denominators (2, 3, and 10). The LCM of 2, 3, and 10 is 30. 30(x) + 30((1)/(2)) 30((1)/(3)x) + 30((1)/(10)) 30x + 15 10x + 3 Step 3: Collect all terms involving x on one side and constant terms on the other side. Subtract 10x from both sides: 30x - 10x + 15 3 20x + 15 3 Subtract 15 from both sides: 20x 3 - 15 20x -12 Step 4: Divide by 20 to solve for x. x (-12)/(20) Step 5: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4. x -(3)/(5) The solution is x -(3)/(5). Send me the next one 📸