Question

which expression is equivalent to \\(\frac{2}{3}x + (-2) + (-7) - \frac{1}{3}x\\)?

choose the correct answer below.

\\(\bigcirc\\) a. \\(-\frac{1}{3}x - 9\\)
\\(\bigcirc\\) b. \\(\frac{1}{3}x - 9\\)
\\(\bigcirc\\) c. \\(x + 9\\)
\\(\bigcirc\\) d. \\(\frac{1}{3}x - 5\\)

Explanation:

Step1: Combine like terms for x

We have \(\frac{2}{3}x\) and \(-\frac{1}{3}x\). Combining them: \(\frac{2}{3}x-\frac{1}{3}x=\frac{2 - 1}{3}x=\frac{1}{3}x\)

Step2: Combine constant terms

We have \((-2)\) and \((-7)\). Combining them: \(-2-7=-9\)

Step3: Combine the results

Putting the combined x - terms and constant terms together, we get \(\frac{1}{3}x-9\)

Answer:

B. \(\frac{1}{3}x - 9\)