Answer: The correct option is (a) always.
Step-by-step explanation: We are given to decide whether the following equation is always true, sometimes true or never true :
[tex]14+3x-7=7x+7-4x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To check the given equation, we must try to simplify the equation.
From equation (i), we have
[tex]14+3x-7=7x+7-4x\\\\\Rightarrow 7+3x=7+3x\\\\\Rightarrow 0=0.[/tex]
Since the result 0 = 0 is always true, so whatever be the value of x, the given equation is always true.
Option (a) is CORRECT.
