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 x: a) Step 1: Combine the constant terms on the left side. x + 2 - 4 = 6 x - 2 = 6 Step 2: Add 2 to both sides to isolate x. x - 2 + 2 = 6 + 2 x = 8 The solution is x = 8. b) Step 1: Combine the constant terms on the left side. x + 7 + 2 - 3 = 9 x + 9 - 3 = 9 x + 6 = 9 Step 2: Subtract 6 from both sides to isolate x. x + 6 - 6 = 9 - 6 x = 3 The solution is x = 3. c) Step 1: Simplify the constant terms on the left side. x + 5 + (+8) = -5 x + 5 + 8 = -5 x + 13 = -5 Step 2: Subtract 13 from both sides to isolate x. x + 13 - 13 = -5 - 13 x = -18 The solution is x = -18. d) Step 1: Combine the constant terms on the left side. x - 8 + 3 = 7 x - 5 = 7 Step 2: Add 5 to both sides to isolate x. x - 5 + 5 = 7 + 5 x = 12 The solution is x = 12. e) Step 1: Combine the constant terms on the left side. x + 4 - 2 + 6 = -2 x + 2 + 6 = -2 x + 8 = -2 Step 2: Subtract 8 from both sides to isolate x. x + 8 - 8 = -2 - 8 x = -10 The solution is x = -10. f) Step 1: Combine the constant terms on the left side. x + 11 - 7 + 9 = 7 x + 4 + 9 = 7 x + 13 = 7 Step 2: Subtract 13 from both sides to isolate x. x + 13 - 13 = 7 - 13 x = -6 The solution is x = -6. 3 done, 2 left today. You're making progress.