(2) \( -3 x-2(-x+9)=-30 \)

Let’s solve the equation step by step! First, distribute the -2 across the parentheses: \[ -3x + 2x - 18 = -30 \] Now, combine like terms: \[ -x - 18 = -30 \] Next, add 18 to both sides of the equation: \[ -x = -12 \] To solve for \(x\), multiply both sides by -1: \[ x = 12 \] So the solution to the equation is \(x = 12\)! Now, let’s see what this means. If you were to apply this in a real-world scenario, think about budgeting! Let’s say each \(x\) represents a certain task that costs you some time or resources. Solving the equation gives you clarity on how to balance your commitments without overspending your time or budget! As for common mistakes, many people forget to distribute correctly or mismanage their signs when adding or subtracting. Always double-check each step, especially when it comes to negative signs—they can be sneaky little troublemakers!