$ -(x - 3) = 2x - 5 $ → $ -x + 3 = 2x - 5 $ → $ 3 + 5 = 3x $ → $ x = \frac{8}{3} $.

$ -(x - 3) = 2x - 5 $ → $ -x + 3 = 2x - 5 $ → $ 3 + 5 = 3x $ → $ x = \frac{8}{3} $.

["How to Solve the Equation $ -(x - 3) = 2x - 5 $: Step-by-Step Guide", "Solving linear equations is a fundamental skill in algebra, and understanding each step clearly helps reinforce number sense and algebraic thinking. Today, we’ll walk through solving the equation $ -(x - 3) = 2x - 5 $ with detailed explanations to ensure you master how to isolate the variable and find the correct solution: $ x = \frac{8}{3} $.", "### Original Equation\nStart with the equation:\n$$\n-(x - 3) = 2x - 5\n$$\nThe negative sign in front of the parentheses means you’re distributing a negative value, which changes the sign of every term inside the parentheses.", "### Step 1: Distribute the minus sign\nDistribute $ -1 $ across $ x - 3 $:\n$$\n-(x) + (-1)(-3) = 2x - 5\n\Rightarrow -x + 3 = 2x - 5\n$$\nThis simplifies to:\n$$\n -x + 3 = 2x - 5\n$$\nThis step is crucial — forgetting to distribute the negative changes the entire expression and breaks the problem.", "### Step 2: Move all variables to one side\nTo isolate $ x $, subtract $ 2x $ from both sides:\n$$\n -x - 2x + 3 = -5\n\Rightarrow -3x + 3 = -5\n$$\nNow, all $ x $-terms are on the left, and constants on the right.", "### Step 3: Move constant terms to the right\nSubtract 3 from both sides:\n$$\n-3x = -5 - 3\n\Rightarrow -3x = -8\n$$\nMoving constants to the right side flips their sign when transferred.", "### Step 4: Solve for $ x $\nDivide both sides by $ -3 $:\n$$\nx = \frac{-8}{-3} = \frac{8}{3}\n$$\nRemember, dividing by a negative keeps the sign consistent — so $ \frac{-8}{-3} = \frac{8}{3} $.", "### Final Answer\n$$\nx = \frac{8}{3}\n$$\nThis fractional solution shows the importance of keeping track of signs and performing operations carefully across all steps.", "---", "### Why Understanding Each Step Matters\nLearning the method behind this equation strengthens your foundation in algebra. Mastering distribution, combining like terms, and isolating variables helps you tackle more complex equations confidently — from simple sight feats to multi-step word problems in math competitions and standardized tests.", "Practice Tip: Always write out each step clearly when solving equations, especially signs and distribution, to avoid common mistakes.", "Key Takeaways:\n- Distribute negative signs carefully\n- Keep all terms on one side at a time\n- Be consistent with signs when moving terms\n- Fractional answers are valid and often correct", "Mastering this step-by-step approach will make solving linear equations easier and more intuitive. Keep practicing — algebra puts the power of logic at your fingertips!"]

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