Question

Determine whether the equation I'd always, sometimes, or never true. 2/3x+2=2x

Answer 1

Answer:

Sometimes true.

Step-by-step explanation:

Since, an equation is true always if after solving it, we get a true statement,

It is never true if we get a false statement,

It sometimes true if we get one unique solution,

Given equation,

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

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

$2x=6x-6$

$2x-6x=-6$

$-4x=-6$

$\implies x = \frac{-6}{-4}=\frac{3}{2}$

Thus, the equation is true for x = 3/2.

Answer 2

It is true sometimes because it only has one solution.