Video: Solving Word Problems by Subtracting Two Algebraic Expressions

Michael had 3𝑥 + 6 coins and gave 2𝑥 + 3 coins to James. How many coins does Michael have left?

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Video Transcript

Michael had three 𝑥 plus six coins and gave two 𝑥 plus three coins to James. How many coins does Michael have left?

In order to solve this problem, we need to subtract two 𝑥 plus three from three 𝑥 plus six. We can do this by grouping or collecting the like terms: three 𝑥 minus two 𝑥 and six minus three. Three 𝑥 minus two 𝑥 is equal to 𝑥 and six minus three is equal to three.

This means that after Michael gave two 𝑥 plus three coins to James, he has 𝑥 plus three coins left.

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