Question

solve.

\\28 - \frac{2}{3}x = -\frac{2}{3}x + 28\\

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. \\(x = \\) (type an integer or a simplified fraction.)
b. the solution is all real numbers.
c. there is no solution.

Explanation:

Rearrange the equation

$$ 28 - \frac{2}{3}x = -\frac{2}{3}x + 28 $$

Add \(\frac{2}{3}x\) to both sides

$$ 28 = 28 $$

Analyze the resulting statement

$$ 28 = 28 \quad (\text{Always true}) $$

Answer:

• (A) \(x = \) (Type an integer or a simplified fraction.)
• (B) The solution is all real numbers. (Correct answer)
• (C) There is no solution.