How many solutions exist for the given equation?3(x – 2) = 22 – x
Answer
A
zero
B
one
C
two
D
infinitely many
Explanation
Distribute the 3: 3x − 6 = 22 − x. Add x to both sides and add 6 to both sides to get 4x = 28, so x = 7. There is exactly one solution, so the correct choice is “one.”
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