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

May 13, 2026Mathematics

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Answer

10x - 42

Step-by-step solution

2 steps

Distribute the numbers outside the parentheses into the terms inside each parenthesis.
$8(x-3) + 2(x-9) = (8 \cdot x + 8 \cdot (-3)) + (2 \cdot x + 2 \cdot (-9))$ $= 8x - 24 + 2x - 18$
Combine the like terms.
Group the $x$ terms and the constant terms.
$(8x + 2x) + (-24 - 18)$ $= 10x - 42$
The expanded and simplified expression is:
$10x - 42$

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