Questions: Solve. 2x/5 - x = x/15 - 8/3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is . (Type an integer or a simplified fraction.) B. The solution set is x x is a real number . C. The solution set is ∅.

Solve.
2x/5 - x = x/15 - 8/3

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is . (Type an integer or a simplified fraction.)
B. The solution set is x  x is a real number .
C. The solution set is ∅.
Transcript text: Solve. \[ \frac{2 x}{5}-x=\frac{x}{15}-\frac{8}{3} \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\}$. (Type an integer or a simplified fraction.) B. The solution set is $\{x \mid x$ is a real number $\}$. C. The solution set is $\varnothing$.
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Solution

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Solution Steps

Step 1: Simplify the equation

Given the linear equation $-0.6x = 0.06666666666666667x - 2.667$, we bring all terms involving x to one side to get $-0.6666666666666666x = -2.667$.

Step 2: Solve for x

We simplify the equation to get $x = \frac{-2.667}{-0.667}$.

Final Answer:

The solution is $x = 4$.

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