SOLUTION: solve: 3(x - 5) + 2x = 15

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Question 122116This question is from textbook Fundamental of Algebraic Modeling
: solve: 3(x - 5) + 2x = 15 This question is from textbook Fundamental of Algebraic Modeling

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3%28x-5%29%2B2x=15
3%28x%29-3%285%29%2B2x=15 Use the distributive property.
3x-15%2B2x=15
%283x%2B2x%29-15=15 Group like terms.
5x-15=15
5x%28cross%28-15%29%2Bcross%2815%29%29=15%2B15 Add 15 to both sides (additive inverse of -15).
5x=30
cross%285%29x%2Fcross%285%29=30%2F5 Divide both side by 5 (multiplicative inverse of 5).
highlight%28x=6%29
Check your answer.
3%28x-5%29%2B2x=15
3%286-5%29%2B2%286%29=15
3%281%29%2B12=15
3%2B12=15
15=15
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