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Distribute, Then Collect

Part of the Expressions & Data section of Coddy's Pre-Algebra journey. Lesson 19 of 51.

Some expressions need both skills. 3(x+4)+2x3\left(x+4\right)+2x has like terms hiding inside parentheses. First expand: 3 times x is 3x and 3 times 4 is 12, giving 3x+12+2x3x+12+2x. Now the like terms are in the open, and 3x+2x3x+2x is 5x5x, so the result is 5x+125x+12.

The order matters. The 3 multiplies the whole bracket, so you cannot add it to the 2x first: 3(x+4)3\left(x+4\right) is not three plus anything. Parentheses go first, exactly as in the order of operations, and collecting comes after.

Write one step per line: expand, then collect. If the expansion line is wrong, the board refuses it before you build on it.

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Challenge

Simplify 2(x+3)+5x2\left(x+3\right)+5x. Expand on your first line, then combine the like terms.

Try it yourself

2(x+3)+5x2\left(x+3\right)+5x

Simplify

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