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
Here's how to solve the equation: Step 1: Find a common denominator for the fractions. The least common multiple of 4 and 2 is 4. Rewrite the second fraction with the common denominator: (x-1)/(2) = (2(x-1))/(2 × 2) = (2(x-1))/(4) The equation becomes: (3x+2)/(4) - (2(x-1))/(4) = 1 Step 2: Combine the fractions on the left side. ((3x+2) - 2(x-1))/(4) = 1 Step 3: Distribute the -2 in the numerator and simplify. (3x+2 - 2x + 2)/(4) = 1 (x+4)/(4) = 1 Step 4: Multiply both sides of the equation by 4 to eliminate the denominator. 4 × (x+4)/(4) = 1 × 4 x+4 = 4 Step 5: Subtract 4 from both sides to solve for x. x+4-4 = 4-4 x = 0 The solution to the equation is x=0. The final answer is x=0. What's next?