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Expand and simplify: 5(x+3) + 2(x+1)

May 13, 2026Mathematics

ScanSolve AI Answer

Answer

7x + 17

Step-by-step solution

2 steps

Distribute the numbers outside the parentheses into the terms inside each parenthesis.
$5(x+3) + 2(x+1) = (5 \cdot x + 5 \cdot 3) + (2 \cdot x + 2 \cdot 1)$ $= 5x + 15 + 2x + 2$
Combine the like terms.
Group the $x$ terms and the constant terms.
$(5x + 2x) + (15 + 2)$ $= 7x + 17$
The expanded and simplified expression is:
$7x + 17$

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