Question

MEDAL!!!!!!!!!
4. Is the following always, sometimes, or never true?
14+3x-7=7x+7-4x
A. always
B. sometimes
C. never

Answer 1

@zepdrix

Answer 2

Attempt to solve for x.

If you end up with `x=#`, then it is `sometimes true`.
This is telling us that the equation is true for ONE SPECIFIC X VALUE.

If you end up with `5=6`, or something like that,
then we have a false statement, 5 is never equal to 6, `never true`.

If you end up with `3=3`, where both sides match,
then your equation holds true for every x value, `always true`.

Answer 3

Before adding or subtracting from both sides or anything like that,
let's try to combine like terms first.
\[\Large\rm \color{royalblue}{14}+3x\color{royalblue}{-7}=\color{orangered}{7x}+7\color{orangered}{-4x}\]

Answer 4

-7=3x=3x+7

Answer 5

you meant to write this?
-7+3x=3x+7

Hmm no we shouldn't get a -7 on the left side.
14-7 = ?

Answer 6

the result is A always

Answer 7

7

Answer 8

You got the same thing on both sides?
7+3x = 3x+7

mmm ok good, that's correct! :)