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 are the solutions for the given equations: 1) 6(3x-4) = -4(x+6) Step 1: Distribute the numbers on both sides of the equation. 18x - 24 = -4x - 24 Step 2: Add 4x to both sides to collect x terms. 18x + 4x - 24 = -24 22x - 24 = -24 Step 3: Add 24 to both sides to isolate the x term. 22x = -24 + 24 22x = 0 Step 4: Divide by 22 to solve for x. x = (0)/(22) x = 0 The truth set is \0\. 2) 4 - 7x = 3x + 4 Step 1: Add 7x to both sides to collect x terms. 4 = 3x + 7x + 4 4 = 10x + 4 Step 2: Subtract 4 from both sides to isolate the x term. 4 - 4 = 10x 0 = 10x Step 3: Divide by 10 to solve for x. x = (0)/(10) x = 0 The truth set is \0\. 3) 6x - 2 = 4x - 1 Step 1: Subtract 4x from both sides to collect x terms. 6x - 4x - 2 = -1 2x - 2 = -1 Step 2: Add 2 to both sides to isolate the x term. 2x = -1 + 2 2x = 1 Step 3: Divide by 2 to solve for x. x = (1)/(2) The truth set is \(1)/(2)\. 4) 3(2x+5) = 2(x-5) + 13 Step 1: Distribute the numbers on both sides of the equation. 6x + 15 = 2x - 10 + 13 6x + 15 = 2x + 3 Step 2: Subtract 2x from both sides to collect x terms. 6x - 2x + 15 = 3 4x + 15 = 3 Step 3: Subtract 15 from both sides to isolate the x term. 4x = 3 - 15 4x = -12 Step 4: Divide by 4 to solve for x. x = (-12)/(4) x = -3 The truth set is \-3\. Send me the next one 📸