Question

Is the following always, sometimes, or never true? 14+3x-7=7x+7-4x a.always b.sometimes c.never

Answer 1

14+3x-7= 7x+7-4x

Combine like terms
7+3x=3x+7

Since the equations are the same, it is always true.

Answer 2

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 :

`14+3x-7=7x+7-4x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To check the given equation, we must try to simplify the equation.

From equation (i), we have

`14+3x-7=7x+7-4x\\\\\Rightarrow 7+3x=7+3x\\\\\Rightarrow 0=0.`

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.