Question

select the correct answer.
what is the solution for x in the equation?
\\(\frac{1}{2} - x + \frac{3}{2} = x - 4\\)
a. \\(x = 3\\)
b. \\(x = \frac{1}{3}\\)
c. \\(x = -\frac{1}{3}\\)
d. \\(x = -3\\)

Explanation:

Step1: Combine like terms on left

$\frac{1}{2} + \frac{3}{2} - x = 2 - x$

Step2: Rewrite equation

$2 - x = x - 4$

Step3: Add x to both sides

$2 = 2x - 4$

Step4: Add 4 to both sides

$6 = 2x$

Step5: Divide by 2

$x = 3$

Answer:

A. $x = 3$