Expand and simplify: 8(x-3) + 2(x-9)

May 13, 2026Mathematics

ScanSolve AI Answer

May 13, 2026

Answer

10x - 42

Step 1: Distribute the numbers outside the parentheses into the terms inside each parenthesis. $8(x-3) + 2(x-9) = (8 \cdot x + 8 \cdot (-3)) + (2 \cdot x + 2 \cdot (-9))$ $= 8x - 24 + 2x - 18$

Step 2: Combine the like terms. Group the $x$ terms and the constant terms. $(8x + 2x) + (-24 - 18)$ $= 10x - 42$

The expanded and simplified expression is: $10x - 42$ 3 done, 2 left today. You're making progress.

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Quick Answer

Distribute the numbers outside the parentheses into the terms inside each parenthesis.

Asked on May 13, 2026Mathematics

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 AnswerAnswered on May 13, 2026

Step 1: Distribute the numbers outside the parentheses into the terms inside each parenthesis. 8(x-3) + 2(x-9) = (8 · x + 8 · (-3)) + (2 · x + 2 · (-9)) = 8x - 24 + 2x - 18 Step 2: Combine the like terms. Group the x terms and the constant terms. (8x + 2x) + (-24 - 18) = 10x - 42 The expanded and simplified expression is: 10x - 42 3 done, 2 left today. You're making progress.