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AlgebraMediumTwo distributions on one side

Algebra practice question

If 2(x − 1) + 3(x + 2) = 19, what is the value of x?

Answer: 3

Expand: 2x − 2 + 3x + 6 = 19, so 5x + 4 = 19. Then 5x = 15 and x = 3.

Common wrong answers

If you answered 2
2 comes from 5x + 9 = 19, adding the constants as 3 + 6 instead of −2 + 6.
If you answered 4.6
4.6 comes from 5x − 4 = 19, with the signs of the constants mishandled; −2 + 6 = +4.
If you answered 3.8
3.8 is 19/5, ignoring the constant 4.

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