Question

begins to solve the equation \\( + 11 = \frac{1}{2}x - (x - 4) \\). her work is correct and is n below\\(\frac{1}{2}(x - 14) + 11 = \frac{1}{2}x - (x - 4)\\)\\(\frac{1}{2}x - 7 + 11 = \frac{1}{2}x - x + 4\\)\\(\frac{1}{2}x + 4 = -\frac{1}{2}x + 4\\)when she subtracts 4 from both sides, \\(\frac{1}{2}x = -\frac{1}{2}x\\) results. what is the value of \\(x\\)?\\(\bigcirc -1\\)\\(\bigcirc \frac{1}{2}\\)\\(\bigcirc 0\\)\\(\bigcirc \frac{1}{2}\\)

Explanation:

Step1: Add $\frac{1}{2}x$ to both sides

$\frac{1}{2}x + \frac{1}{2}x = -\frac{1}{2}x + \frac{1}{2}x$

Step2: Simplify both sides

$x = 0$

Answer:

0